1057013760 has 480 divisors, whose sum is σ = 4076739072. Its totient is φ = 230686720.

The previous prime is 1057013747. The next prime is 1057013791. The reversal of 1057013760 is 673107501.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1057013760² = 2234556177658675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

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, 45957109 + ... + 45957131.

Almost surely, 2^1057013760 is an apocalyptic number.

1057013760 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 1057013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038369536).

1057013760 is an abundant number, since it is smaller than the sum of its proper divisors (3019725312).

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

1057013760 is a wasteful number, since it uses less digits than its factorization.

1057013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 1057013760 is about 32511.7480305197. The cubic root of 1057013760 is about 1018.6544348863.

The spelling of 1057013760 in words is "one billion, fifty-seven million, thirteen thousand, seven hundred sixty".