86715360 has 120 divisors (see below), whose sum is σ = 306078696. Its totient is φ = 23120640.

The previous prime is 86715347. The next prime is 86715361. The reversal of 86715360 is 6351768.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86715361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9615 + ... + 16305.

Almost surely, 2^86715360 is an apocalyptic number.

86715360 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 86715360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153039348).

86715360 is an abundant number, since it is smaller than the sum of its proper divisors (219363336).

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

86715360 is a wasteful number, since it uses less digits than its factorization.

86715360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 86715360 is about 9312.1082467935. The cubic root of 86715360 is about 442.6209953526.

The spelling of 86715360 in words is "eighty-six million, seven hundred fifteen thousand, three hundred sixty".