1057256064 has 192 divisors, whose sum is σ = 3322956000. Its totient is φ = 333683712.

The previous prime is 1057256041. The next prime is 1057256107. The reversal of 1057256064 is 4606527501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1057256064² = 2235580769729544192, which contains 22 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590082 + ... + 591870.

Almost surely, 2^1057256064 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 1057256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661478000).

1057256064 is an abundant number, since it is smaller than the sum of its proper divisors (2265699936).

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

1057256064 is an equidigital number, since it uses as much as digits as its factorization.

1057256064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1057256064 is about 32515.4742238215. The cubic root of 1057256064 is about 1018.7322658461.

The spelling of 1057256064 in words is "one billion, fifty-seven million, two hundred fifty-six thousand, sixty-four".