86916312 has 96 divisors (see below), whose sum is σ = 277754880. Its totient is φ = 24027840.

The previous prime is 86916307. The next prime is 86916337. The reversal of 86916312 is 21361968.

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

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

It is a congruent number.

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, 12843 + ... + 18405.

It is an arithmetic number, because the mean of its divisors is an integer number (2893280).

Almost surely, 2^86916312 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 86916312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138877440).

86916312 is an abundant number, since it is smaller than the sum of its proper divisors (190838568).

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

86916312 is a wasteful number, since it uses less digits than its factorization.

86916312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5606 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 86916312 is about 9322.8918260377. The cubic root of 86916312 is about 442.9626378476.

The spelling of 86916312 in words is "eighty-six million, nine hundred sixteen thousand, three hundred twelve".