1057731616 has 48 divisors (see below), whose sum is σ = 2200141440. Its totient is φ = 499744000.

The previous prime is 1057731607. The next prime is 1057731629. The reversal of 1057731616 is 6161377501.

It is a super-2 number, since 2×1057731616² = 2237592342971942912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31491 + ... + 55741.

It is an arithmetic number, because the mean of its divisors is an integer number (45836280).

Almost surely, 2^1057731616 is an apocalyptic number.

1057731616 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 1057731616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100070720).

1057731616 is an abundant number, since it is smaller than the sum of its proper divisors (1142409824).

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

1057731616 is a wasteful number, since it uses less digits than its factorization.

1057731616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24337 (or 24329 counting only the distinct ones).

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

The square root of 1057731616 is about 32522.7861045145. The cubic root of 1057731616 is about 1018.8849843043.

The spelling of 1057731616 in words is "one billion, fifty-seven million, seven hundred thirty-one thousand, six hundred sixteen".