86306976 has 144 divisors (see below), whose sum is σ = 289755648. Its totient is φ = 23846400.

The previous prime is 86306939. The next prime is 86306981. The reversal of 86306976 is 67960368.

86306976 is a `hidden beast` number, since 8 + 630 + 6 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 61806 + ... + 63186.

It is an arithmetic number, because the mean of its divisors is an integer number (2012192).

Almost surely, 2^86306976 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 86306976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144877824).

86306976 is an abundant number, since it is smaller than the sum of its proper divisors (203448672).

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

86306976 is a wasteful number, since it uses less digits than its factorization.

86306976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 86306976 is about 9290.1547888073. The cubic root of 86306976 is about 441.9250639053.

The spelling of 86306976 in words is "eighty-six million, three hundred six thousand, nine hundred seventy-six".