86970312 has 96 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 24324480.

The previous prime is 86970287. The next prime is 86970329. The reversal of 86970312 is 21307968.

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 23 ways as a sum of consecutive naturals, for example, 6073 + ... + 14519.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^86970312 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 86970312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

86970312 is an abundant number, since it is smaller than the sum of its proper divisors (189786168).

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

86970312 is a wasteful number, since it uses less digits than its factorization.

86970312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8483 (or 8476 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 86970312 is about 9325.7874734523. The cubic root of 86970312 is about 443.0543545418.

The spelling of 86970312 in words is "eighty-six million, nine hundred seventy thousand, three hundred twelve".