1056891264 has 256 divisors, whose sum is σ = 3475180800. Its totient is φ = 279797760.

The previous prime is 1056891257. The next prime is 1056891289. The reversal of 1056891264 is 4621986501.

It is a super-2 number, since 2×1056891264² = 2234038287839035392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042822 + ... + 1043834.

It is an arithmetic number, because the mean of its divisors is an integer number (13574925).

Almost surely, 2^1056891264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737590400).

1056891264 is an abundant number, since it is smaller than the sum of its proper divisors (2418289536).

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

1056891264 is a wasteful number, since it uses less digits than its factorization.

1056891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1056891264 is about 32509.8641030688. The cubic root of 1056891264 is about 1018.6150831708.

It can be divided in two parts, 105689 and 1264, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 1056891264 in words is "one billion, fifty-six million, eight hundred ninety-one thousand, two hundred sixty-four".