1056382080 has 128 divisors (see below), whose sum is σ = 3626320320. Its totient is φ = 260026368.

The previous prime is 1056382021. The next prime is 1056382087. The reversal of 1056382080 is 802836501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1056382080² = 2231886197890252800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056382087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3799 + ... + 46121.

Almost surely, 2^1056382080 is an apocalyptic number.

1056382080 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 1056382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813160160).

1056382080 is an abundant number, since it is smaller than the sum of its proper divisors (2569938240).

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

1056382080 is a wasteful number, since it uses less digits than its factorization.

1056382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42358 (or 42346 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1056382080 is about 32502.0319364805. The cubic root of 1056382080 is about 1018.4514757322.

The spelling of 1056382080 in words is "one billion, fifty-six million, three hundred eighty-two thousand, eighty".