93314880 has 84 divisors (see below), whose sum is σ = 320974212. Its totient is φ = 24883200.

The previous prime is 93314863. The next prime is 93314891. The reversal of 93314880 is 8841339.

It can be written as a sum of positive squares in 2 ways, for example, as 74235456 + 19079424 = 8616^2 + 4368^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13321 + ... + 19080.

Almost surely, 2^93314880 is an apocalyptic number.

93314880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93314880 is an abundant number, since it is smaller than the sum of its proper divisors (227659332).

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

93314880 is a wasteful number, since it uses less digits than its factorization.

93314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32424 (or 32411 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 93314880 is about 9659.9627328474. The cubic root of 93314880 is about 453.5762442884.

The spelling of 93314880 in words is "ninety-three million, three hundred fourteen thousand, eight hundred eighty".