85976720 has 20 divisors (see below), whose sum is σ = 199896060. Its totient is φ = 34390656.

The previous prime is 85976711. The next prime is 85976731. The reversal of 85976720 is 2767958.

It can be written as a sum of positive squares in 2 ways, for example, as 15147664 + 70829056 = 3892^2 + 8416^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 537275 + ... + 537434.

It is an arithmetic number, because the mean of its divisors is an integer number (9994803).

Almost surely, 2^85976720 is an apocalyptic number.

85976720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85976720 is an abundant number, since it is smaller than the sum of its proper divisors (113919340).

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

85976720 is a wasteful number, since it uses less digits than its factorization.

85976720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074722 (or 1074716 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 85976720 is about 9272.3632370610. The cubic root of 85976720 is about 441.3606639539.

The spelling of 85976720 in words is "eighty-five million, nine hundred seventy-six thousand, seven hundred twenty".