86700960 has 72 divisors (see below), whose sum is σ = 295871940. Its totient is φ = 23119872.

The previous prime is 86700959. The next prime is 86700973. The reversal of 86700960 is 6900768.

It can be written as a sum of positive squares in 2 ways, for example, as 69956496 + 16744464 = 8364^2 + 4092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28665 + ... + 31544.

Almost surely, 2^86700960 is an apocalyptic number.

86700960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86700960 is an abundant number, since it is smaller than the sum of its proper divisors (209170980).

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

86700960 is a wasteful number, since it uses less digits than its factorization.

86700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60230 (or 60219 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 86700960 is about 9311.3350278035. The cubic root of 86700960 is about 442.5964933683.

The spelling of 86700960 in words is "eighty-six million, seven hundred thousand, nine hundred sixty".