86112560 has 80 divisors (see below), whose sum is σ = 212590560. Its totient is φ = 32348160.

The previous prime is 86112527. The next prime is 86112577. The reversal of 86112560 is 6521168.

It is a happy number.

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, 274964 + ... + 275276.

It is an arithmetic number, because the mean of its divisors is an integer number (2657382).

Almost surely, 2^86112560 is an apocalyptic number.

86112560 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 86112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106295280).

86112560 is an abundant number, since it is smaller than the sum of its proper divisors (126478000).

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

86112560 is a wasteful number, since it uses less digits than its factorization.

86112560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 86112560 is about 9279.6853394929. The cubic root of 86112560 is about 441.5929860872.

The spelling of 86112560 in words is "eighty-six million, one hundred twelve thousand, five hundred sixty".