93364320 has 192 divisors, whose sum is σ = 345655296. Its totient is φ = 20736000.

The previous prime is 93364319. The next prime is 93364331. The reversal of 93364320 is 2346339.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123945 + ... + 124695.

It is an arithmetic number, because the mean of its divisors is an integer number (1800288).

Almost surely, 2^93364320 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 93364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172827648).

93364320 is an abundant number, since it is smaller than the sum of its proper divisors (252290976).

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

93364320 is a wasteful number, since it uses less digits than its factorization.

93364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 93364320 is about 9662.5214100668. The cubic root of 93364320 is about 453.6563345888.

The spelling of 93364320 in words is "ninety-three million, three hundred sixty-four thousand, three hundred twenty".