1057697984 has 56 divisors (see below), whose sum is σ = 2463576480. Its totient is φ = 441040896.

The previous prime is 1057697981. The next prime is 1057697999. The reversal of 1057697984 is 4897967501.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1057697984² = 2237450050715328512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (1057697981) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15329 + ... + 48480.

Almost surely, 2^1057697984 is an apocalyptic number.

1057697984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1057697984 is an abundant number, since it is smaller than the sum of its proper divisors (1405878496).

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

1057697984 is an equidigital number, since it uses as much as digits as its factorization.

1057697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63865 (or 63855 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 56.

The square root of 1057697984 is about 32522.2690475311. The cubic root of 1057697984 is about 1018.8741852502.

The spelling of 1057697984 in words is "one billion, fifty-seven million, six hundred ninety-seven thousand, nine hundred eighty-four".