1057916880 has 120 divisors (see below), whose sum is σ = 3559257312. Its totient is φ = 281601792.

The previous prime is 1057916863. The next prime is 1057916927. The reversal of 1057916880 is 886197501.

1057916880 is a `hidden beast` number, since 10 + 579 + 1 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1057916880² = 2238376249977868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565707 + ... + 567573.

Almost surely, 2^1057916880 is an apocalyptic number.

1057916880 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 1057916880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779628656).

1057916880 is an abundant number, since it is smaller than the sum of its proper divisors (2501340432).

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

1057916880 is a wasteful number, since it uses less digits than its factorization.

1057916880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 1057916880 is about 32525.6341982751. The cubic root of 1057916880 is about 1018.9444674742.

The spelling of 1057916880 in words is "one billion, fifty-seven million, nine hundred sixteen thousand, eight hundred eighty".