86937360 has 80 divisors (see below), whose sum is σ = 278821440. Its totient is φ = 22382080.

The previous prime is 86937359. The next prime is 86937373. The reversal of 86937360 is 6373968.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715 + ... + 13205.

It is an arithmetic number, because the mean of its divisors is an integer number (3485268).

Almost surely, 2^86937360 is an apocalyptic number.

86937360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86937360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139410720).

86937360 is an abundant number, since it is smaller than the sum of its proper divisors (191884080).

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

86937360 is a wasteful number, since it uses less digits than its factorization.

86937360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12536 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 86937360 is about 9324.0205919979. The cubic root of 86937360 is about 442.9983914934.

The spelling of 86937360 in words is "eighty-six million, nine hundred thirty-seven thousand, three hundred sixty".