93600864 has 144 divisors (see below), whose sum is σ = 314889120. Its totient is φ = 25804800.

The previous prime is 93600853. The next prime is 93600889. The reversal of 93600864 is 46800639.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×93600864² = 17522243483092992, which contains 22 as substring.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57664 + ... + 59264.

It is an arithmetic number, because the mean of its divisors is an integer number (2186730).

Almost surely, 2^93600864 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 93600864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157444560).

93600864 is an abundant number, since it is smaller than the sum of its proper divisors (221288256).

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

93600864 is a wasteful number, since it uses less digits than its factorization.

93600864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 93600864 is about 9674.7539503597. The cubic root of 93600864 is about 454.0391331648.

The spelling of 93600864 in words is "ninety-three million, six hundred thousand, eight hundred sixty-four".