1029491712 has 132 divisors (see below), whose sum is σ = 3147974856. Its totient is φ = 322928640.

The previous prime is 1029491699. The next prime is 1029491731. The reversal of 1029491712 is 2171949201.

It is a super-3 number, since 3×1029491712³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153387 + ... + 159957.

Almost surely, 2^1029491712 is an apocalyptic number.

1029491712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029491712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573987428).

1029491712 is an abundant number, since it is smaller than the sum of its proper divisors (2118483144).

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

1029491712 is a wasteful number, since it uses less digits than its factorization.

1029491712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1029491712 is about 32085.6932603926. The cubic root of 1029491712 is about 1009.7354834534.

The spelling of 1029491712 in words is "one billion, twenty-nine million, four hundred ninety-one thousand, seven hundred twelve".