1057256640 has 336 divisors, whose sum is σ = 4142451456. Its totient is φ = 244992000.

The previous prime is 1057256633. The next prime is 1057256677. The reversal of 1057256640 is 466527501.

It is a happy number.

1057256640 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 5 + 6 + 640 = 666.

It is a super-2 number, since 2×1057256640² = 2235583205648179200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1057256595 and 1057256604.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 727915 + ... + 729365.

Almost surely, 2^1057256640 is an apocalyptic number.

1057256640 is a gapful number since it is divisible by the number (10) 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 1057256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071225728).

1057256640 is an abundant number, since it is smaller than the sum of its proper divisors (3085194816).

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

1057256640 is a wasteful number, since it uses less digits than its factorization.

1057256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1495 counting only the distinct ones).

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

The square root of 1057256640 is about 32515.4830811415. The cubic root of 1057256640 is about 1018.7324508500.

The spelling of 1057256640 in words is "one billion, fifty-seven million, two hundred fifty-six thousand, six hundred forty".