715988 has 36 divisors (see below), whose sum is σ = 1575252. Its totient is φ = 282240.

The previous prime is 715973. The next prime is 715991. The reversal of 715988 is 889517.

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 432964 = 532^2 + 658^2 .

It is a super-2 number, since 2×715988² = 1025277632288, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 715988.

It is an unprimeable number.

715988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2408 + ... + 2688.

It is an arithmetic number, because the mean of its divisors is an integer number (43757).

2⁷¹⁵⁹⁸⁸ 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 715988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787626).

715988 is an abundant number, since it is smaller than the sum of its proper divisors (859264).

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

715988 is a wasteful number, since it uses less digits than its factorization.

715988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 303 counting only the distinct ones).

The product of its digits is 20160, while the sum is 38.

The square root of 715988 is about 846.1607412306. The cubic root of 715988 is about 89.4613088694.

The spelling of 715988 in words is "seven hundred fifteen thousand, nine hundred eighty-eight".