86514960 has 160 divisors (see below), whose sum is σ = 319979520. Its totient is φ = 18906624.

The previous prime is 86514959. The next prime is 86514971. The reversal of 86514960 is 6941568.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37521 + ... + 39759.

It is an arithmetic number, because the mean of its divisors is an integer number (1999872).

Almost surely, 2^86514960 is an apocalyptic number.

86514960 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 86514960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

86514960 is an abundant number, since it is smaller than the sum of its proper divisors (233464560).

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

86514960 is a wasteful number, since it uses less digits than its factorization.

86514960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 86514960 is about 9301.3418386811. The cubic root of 86514960 is about 442.2797652825.

The spelling of 86514960 in words is "eighty-six million, five hundred fourteen thousand, nine hundred sixty".