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1056978720 = 25345761191

1056978720 has 480 divisors, whose sum is σ = 4355721216. Its totient is φ = 236390400.

The previous prime is 1056978719. The next prime is 1056978739. The reversal of 1056978720 is 278796501.

1056978720 is a `hidden beast` number, since 1 + 0 + 569 + 7 + 87 + 2 + 0 = 666.

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

It is a super-2 number, since 2×10569787202 = 2234408029065676800, 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 79 ways as a sum of consecutive naturals, for example, 5533825 + ... + 5534015.

Almost surely, 21056978720 is an apocalyptic number.

1056978720 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 1056978720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177860608).

1056978720 is an abundant number, since it is smaller than the sum of its proper divisors (3298742496).

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

1056978720 is a wasteful number, since it uses less digits than its factorization.

1056978720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1056978720 is about 32511.2091439245. The cubic root of 1056978720 is about 1018.6431786324.

The spelling of 1056978720 in words is "one billion, fifty-six million, nine hundred seventy-eight thousand, seven hundred twenty".