1025968734 has 256 divisors, whose sum is σ = 2919628800. Its totient is φ = 260402688.

The previous prime is 1025968733. The next prime is 1025968747. The reversal of 1025968734 is 4378695201.

1025968734 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1025968734² = 2105223686291125512, which contains 22 as substring.

1025968734 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1025968734.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025968733) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12986907 + ... + 12986985.

It is an arithmetic number, because the mean of its divisors is an integer number (11404800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1025968734 = 2051937468, but 3⋅1025968734 = 3077906202 is not.

Almost surely, 2^1025968734 is an apocalyptic number.

1025968734 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 1025968734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459814400).

1025968734 is an abundant number, since it is smaller than the sum of its proper divisors (1893660066).

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

1025968734 is a wasteful number, since it uses less digits than its factorization.

1025968734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

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

The square root of 1025968734 is about 32030.7466975093. The cubic root of 1025968734 is about 1008.5823767579.

The spelling of 1025968734 in words is "one billion, twenty-five million, nine hundred sixty-eight thousand, seven hundred thirty-four".