1057527984 has 80 divisors (see below), whose sum is σ = 2767695872. Its totient is φ = 347929344.

The previous prime is 1057527953. The next prime is 1057528081. The reversal of 1057527984 is 4897257501.

It is a super-2 number, since 2×1057527984² = 2236730873886208512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 1724862 + ... + 1725474.

Almost surely, 2^1057527984 is an apocalyptic number.

It is an amenable number.

1057527984 is an abundant number, since it is smaller than the sum of its proper divisors (1710167888).

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

1057527984 is a wasteful number, since it uses less digits than its factorization.

1057527984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The square root of 1057527984 is about 32519.6553487272. The cubic root of 1057527984 is about 1018.8195956620.

The spelling of 1057527984 in words is "one billion, fifty-seven million, five hundred twenty-seven thousand, nine hundred eighty-four".