1057002976 has 48 divisors (see below), whose sum is σ = 2158621920. Its totient is φ = 509068800.

The previous prime is 1057002967. The next prime is 1057002979. The reversal of 1057002976 is 6792007501.

It is a super-2 number, since 2×1057002976² = 2234510582545713152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057002979) 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, 115165 + ... + 124003.

It is an arithmetic number, because the mean of its divisors is an integer number (44971290).

Almost surely, 2^1057002976 is an apocalyptic number.

1057002976 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 1057002976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079310960).

1057002976 is an abundant number, since it is smaller than the sum of its proper divisors (1101618944).

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

1057002976 is a wasteful number, since it uses less digits than its factorization.

1057002976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8987 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 1057002976 is about 32511.5821823546. The cubic root of 1057002976 is about 1018.6509706593.

The spelling of 1057002976 in words is "one billion, fifty-seven million, two thousand, nine hundred seventy-six".