711682560 has 480 divisors, whose sum is σ = 2757680640. Its totient is φ = 168689664.

The previous prime is 711682541. The next prime is 711682561. The reversal of 711682560 is 65286117.

711682560 is a `hidden beast` number, since 7 + 1 + 16 + 82 + 560 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (711682561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9008601 + ... + 9008679.

It is an arithmetic number, because the mean of its divisors is an integer number (5745168).

Almost surely, 2^711682560 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 711682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378840320).

711682560 is an abundant number, since it is smaller than the sum of its proper divisors (2045998080).

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

711682560 is a wasteful number, since it uses less digits than its factorization.

711682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 711682560 is about 26677.3791816213. The cubic root of 711682560 is about 892.8162944573.

It can be divided in two parts, 7116 and 82560, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 711682560 in words is "seven hundred eleven million, six hundred eighty-two thousand, five hundred sixty".