86096960 has 56 divisors (see below), whose sum is σ = 206919576. Its totient is φ = 34119680.

The previous prime is 86096953. The next prime is 86096987. The reversal of 86096960 is 6969068.

It can be written as a sum of positive squares in 4 ways, for example, as 11999296 + 74097664 = 3464^2 + 8608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34970 + ... + 37350.

Almost surely, 2^86096960 is an apocalyptic number.

86096960 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 86096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103459788).

86096960 is an abundant number, since it is smaller than the sum of its proper divisors (120822616).

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

86096960 is a wasteful number, since it uses less digits than its factorization.

86096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 86096960 is about 9278.8447556794. The cubic root of 86096960 is about 441.5663184071.

The spelling of 86096960 in words is "eighty-six million, ninety-six thousand, nine hundred sixty".