1057245696 has 400 divisors, whose sum is σ = 3556038024. Its totient is φ = 310542336.

The previous prime is 1057245667. The next prime is 1057245727. The reversal of 1057245696 is 6965427501.

1057245696 is a `hidden beast` number, since 10 + 5 + 72 + 4 + 569 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 994519296 + 62726400 = 31536^2 + 7920^2 .

It is a super-2 number, since 2×1057245696² = 2235536923421048832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19948006 + ... + 19948058.

Almost surely, 2^1057245696 is an apocalyptic number.

1057245696 is a gapful number since it is divisible by the number (16) 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 1057245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778019012).

1057245696 is an abundant number, since it is smaller than the sum of its proper divisors (2498792328).

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

1057245696 is an equidigital number, since it uses as much as digits as its factorization.

1057245696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 1057245696 is about 32515.3147916486. The cubic root of 1057245696 is about 1018.7289357633.

It can be divided in two parts, 1057 and 245696, that added together give a triangular number (246753 = T₇₀₂).

The spelling of 1057245696 in words is "one billion, fifty-seven million, two hundred forty-five thousand, six hundred ninety-six".