93320864 has 96 divisors (see below), whose sum is σ = 229743360. Its totient is φ = 36329472.

The previous prime is 93320849. The next prime is 93320921. The reversal of 93320864 is 46802339.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212357 + ... + 212795.

It is an arithmetic number, because the mean of its divisors is an integer number (2393160).

Almost surely, 2^93320864 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 93320864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114871680).

93320864 is an abundant number, since it is smaller than the sum of its proper divisors (136422496).

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

93320864 is a wasteful number, since it uses less digits than its factorization.

93320864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 93320864 is about 9660.2724599258. The cubic root of 93320864 is about 453.5859395704.

The spelling of 93320864 in words is "ninety-three million, three hundred twenty thousand, eight hundred sixty-four".