85924880 has 20 divisors (see below), whose sum is σ = 199775532. Its totient is φ = 34369920.

The previous prime is 85924871. The next prime is 85924913. The reversal of 85924880 is 8842958.

It can be written as a sum of positive squares in 2 ways, for example, as 24960016 + 60964864 = 4996^2 + 7808^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 536951 + ... + 537110.

Almost surely, 2^85924880 is an apocalyptic number.

85924880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85924880 is an abundant number, since it is smaller than the sum of its proper divisors (113850652).

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

85924880 is a wasteful number, since it uses less digits than its factorization.

85924880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074074 (or 1074068 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 85924880 is about 9269.5674116973. The cubic root of 85924880 is about 441.2719394057.

The spelling of 85924880 in words is "eighty-five million, nine hundred twenty-four thousand, eight hundred eighty".