86931160 has 64 divisors (see below), whose sum is σ = 200736000. Its totient is φ = 33872256.

The previous prime is 86931151. The next prime is 86931179. The reversal of 86931160 is 6113968.

It is a congruent number.

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, 436741 + ... + 436939.

It is an arithmetic number, because the mean of its divisors is an integer number (3136500).

Almost surely, 2^86931160 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 86931160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100368000).

86931160 is an abundant number, since it is smaller than the sum of its proper divisors (113804840).

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

86931160 is a wasteful number, since it uses less digits than its factorization.

86931160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 86931160 is about 9323.6881114718. The cubic root of 86931160 is about 442.9878603273.

The spelling of 86931160 in words is "eighty-six million, nine hundred thirty-one thousand, one hundred sixty".