86120832 has 192 divisors, whose sum is σ = 279072000. Its totient is φ = 23417856.

The previous prime is 86120789. The next prime is 86120857. The reversal of 86120832 is 23802168.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 86120832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432669 + ... + 432867.

It is an arithmetic number, because the mean of its divisors is an integer number (1453500).

Almost surely, 2^86120832 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 86120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139536000).

86120832 is an abundant number, since it is smaller than the sum of its proper divisors (192951168).

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

86120832 is a wasteful number, since it uses less digits than its factorization.

86120832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 86120832 is about 9280.1310335577. The cubic root of 86120832 is about 441.6071254889.

The spelling of 86120832 in words is "eighty-six million, one hundred twenty thousand, eight hundred thirty-two".