1057784832 has 308 divisors, whose sum is σ = 3445551340. Its totient is φ = 322486272.

The previous prime is 1057784807. The next prime is 1057784837. The reversal of 1057784832 is 2384877501.

1057784832 is a `hidden beast` number, since 1 + 0 + 577 + 8 + 48 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 429981696 + 627803136 = 20736^2 + 25056^2 .

It is a super-2 number, since 2×1057784832² = 2237817501618536448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057784837) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9704394 + ... + 9704502.

It is an arithmetic number, because the mean of its divisors is an integer number (11186855).

Almost surely, 2^1057784832 is an apocalyptic number.

1057784832 is a gapful number since it is divisible by the number (12) 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 1057784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722775670).

1057784832 is an abundant number, since it is smaller than the sum of its proper divisors (2387766508).

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

1057784832 is an equidigital number, since it uses as much as digits as its factorization.

1057784832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 1057784832 is about 32523.6042283139. The cubic root of 1057784832 is about 1018.9020712078.

The spelling of 1057784832 in words is "one billion, fifty-seven million, seven hundred eighty-four thousand, eight hundred thirty-two".