1056289680 has 160 divisors (see below), whose sum is σ = 3667086720. Its totient is φ = 279452160.

The previous prime is 1056289673. The next prime is 1056289709. The reversal of 1056289680 is 869826501.

1056289680 is a `hidden beast` number, since 1 + 0 + 562 + 8 + 9 + 6 + 80 = 666.

It is a super-2 number, since 2×1056289680² = 2231495776149004800, which contains 22 as substring.

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

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, 281094 + ... + 284826.

It is an arithmetic number, because the mean of its divisors is an integer number (22919292).

Almost surely, 2^1056289680 is an apocalyptic number.

1056289680 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 1056289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833543360).

1056289680 is an abundant number, since it is smaller than the sum of its proper divisors (2610797040).

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

1056289680 is a wasteful number, since it uses less digits than its factorization.

1056289680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1056289680 is about 32500.6104558053. The cubic root of 1056289680 is about 1018.4217807756.

The spelling of 1056289680 in words is "one billion, fifty-six million, two hundred eighty-nine thousand, six hundred eighty".