715968 has 84 divisors (see below), whose sum is σ = 2258568. Its totient is φ = 215040.

The previous prime is 715963. The next prime is 715969. The reversal of 715968 is 869517.

It is a super-2 number, since 2×715968² = 1025220354048, which contains 22 as substring.

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 (715961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6280 + ... + 6392.

2⁷¹⁵⁹⁶⁸ 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 715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129284).

715968 is an abundant number, since it is smaller than the sum of its proper divisors (1542600).

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

715968 is a wasteful number, since it uses less digits than its factorization.

715968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 715968 is about 846.1489230626. The cubic root of 715968 is about 89.4604758746.

It can be divided in two parts, 7159 and 68, that added together give a palindrome (7227).

The spelling of 715968 in words is "seven hundred fifteen thousand, nine hundred sixty-eight".