1029685734 has 192 divisors, whose sum is σ = 2980523520. Its totient is φ = 248832000.

The previous prime is 1029685693. The next prime is 1029685817. The reversal of 1029685734 is 4375869201.

1029685734 is a `hidden beast` number, since 10 + 2 + 9 + 68 + 573 + 4 = 666.

1029685734 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

1029685734 is strictly pandigital in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1029685734.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1606054 + ... + 1606694.

It is an arithmetic number, because the mean of its divisors is an integer number (15523560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1029685734 = 2059371468, but 3⋅1029685734 = 3089057202 is not.

Almost surely, 2^1029685734 is an apocalyptic number.

1029685734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029685734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490261760).

1029685734 is an abundant number, since it is smaller than the sum of its proper divisors (1950837786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1029685734 is a wasteful number, since it uses less digits than its factorization.

1029685734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1029685734 is about 32088.7166150346. The cubic root of 1029685734 is about 1009.7989123571.

The spelling of 1029685734 in words is "one billion, twenty-nine million, six hundred eighty-five thousand, seven hundred thirty-four".