86918304 has 96 divisors (see below), whose sum is σ = 253761984. Its totient is φ = 25825280.

The previous prime is 86918303. The next prime is 86918309. The reversal of 86918304 is 40381968.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (86918303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55192 + ... + 56744.

It is an arithmetic number, because the mean of its divisors is an integer number (2643354).

Almost surely, 2^86918304 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 86918304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126880992).

86918304 is an abundant number, since it is smaller than the sum of its proper divisors (166843680).

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

86918304 is a wasteful number, since it uses less digits than its factorization.

86918304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 86918304 is about 9322.9986592298. The cubic root of 86918304 is about 442.9660218493.

The spelling of 86918304 in words is "eighty-six million, nine hundred eighteen thousand, three hundred four".