86612640 has 96 divisors (see below), whose sum is σ = 287219520. Its totient is φ = 21878784.

The previous prime is 86612629. The next prime is 86612683. The reversal of 86612640 is 4621668.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4372 + ... + 13868.

It is an arithmetic number, because the mean of its divisors is an integer number (2991870).

Almost surely, 2^86612640 is an apocalyptic number.

86612640 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 86612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143609760).

86612640 is an abundant number, since it is smaller than the sum of its proper divisors (200606880).

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

86612640 is a wasteful number, since it uses less digits than its factorization.

86612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 86612640 is about 9306.5912126836. The cubic root of 86612640 is about 442.4461551515.

The spelling of 86612640 in words is "eighty-six million, six hundred twelve thousand, six hundred forty".