1057339920 has 160 divisors (see below), whose sum is σ = 4034241792. Its totient is φ = 223082496.

The previous prime is 1057339903. The next prime is 1057339961. The reversal of 1057339920 is 299337501.

It is a super-2 number, since 2×1057339920² = 2235935412851212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2367 + ... + 46046.

Almost surely, 2^1057339920 is an apocalyptic number.

1057339920 is a gapful number since it is divisible by the number (10) 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 1057339920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017120896).

1057339920 is an abundant number, since it is smaller than the sum of its proper divisors (2976901872).

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

1057339920 is a wasteful number, since it uses less digits than its factorization.

1057339920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48449 (or 48443 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 1057339920 is about 32516.7636766023. The cubic root of 1057339920 is about 1018.7591986322.

The spelling of 1057339920 in words is "one billion, fifty-seven million, three hundred thirty-nine thousand, nine hundred twenty".