86979312 has 160 divisors (see below), whose sum is σ = 291648000. Its totient is φ = 24808896.

The previous prime is 86979311. The next prime is 86979313. The reversal of 86979312 is 21397968.

It is an interprime number because it is at equal distance from previous prime (86979311) and next prime (86979313).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86979311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147883 + ... + 148469.

It is an arithmetic number, because the mean of its divisors is an integer number (1822800).

Almost surely, 2^86979312 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 86979312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824000).

86979312 is an abundant number, since it is smaller than the sum of its proper divisors (204668688).

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

86979312 is a wasteful number, since it uses less digits than its factorization.

86979312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 599 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 86979312 is about 9326.2699939472. The cubic root of 86979312 is about 443.0696369662.

The spelling of 86979312 in words is "eighty-six million, nine hundred seventy-nine thousand, three hundred twelve".