712056960 has 256 divisors, whose sum is σ = 2555712000. Its totient is φ = 187342848.

The previous prime is 712056953. The next prime is 712056979. The reversal of 712056960 is 69650217.

712056960 is a `hidden beast` number, since 71 + 20 + 569 + 6 + 0 = 666.

It is a super-2 number, since 2×712056960² = 1014050228568883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1537689 + ... + 1538151.

It is an arithmetic number, because the mean of its divisors is an integer number (9983250).

Almost surely, 2^712056960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277856000).

712056960 is an abundant number, since it is smaller than the sum of its proper divisors (1843655040).

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

712056960 is a wasteful number, since it uses less digits than its factorization.

712056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 712056960 is about 26684.3954400320. The cubic root of 712056960 is about 892.9728304558.

The spelling of 712056960 in words is "seven hundred twelve million, fifty-six thousand, nine hundred sixty".