86516604 has 72 divisors (see below), whose sum is σ = 232792560. Its totient is φ = 26998272.

The previous prime is 86516579. The next prime is 86516609. The reversal of 86516604 is 40661568.

86516604 is a `hidden beast` number, since 86 + 516 + 60 + 4 = 666.

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 (86516609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228087 + ... + 228465.

It is an arithmetic number, because the mean of its divisors is an integer number (3233230).

Almost surely, 2^86516604 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 86516604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116396280).

86516604 is an abundant number, since it is smaller than the sum of its proper divisors (146275956).

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

86516604 is a wasteful number, since it uses less digits than its factorization.

86516604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86516604 is about 9301.4302126071. The cubic root of 86516604 is about 442.2825667376.

The spelling of 86516604 in words is "eighty-six million, five hundred sixteen thousand, six hundred four".