93684864 has 192 divisors, whose sum is σ = 312560640. Its totient is φ = 24643584.

The previous prime is 93684853. The next prime is 93684887. The reversal of 93684864 is 46848639.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244417 + ... + 244799.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2^93684864 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 93684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

93684864 is an abundant number, since it is smaller than the sum of its proper divisors (218875776).

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

93684864 is a wasteful number, since it uses less digits than its factorization.

93684864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 93684864 is about 9679.0941724936. The cubic root of 93684864 is about 454.1749149733.

The spelling of 93684864 in words is "ninety-three million, six hundred eighty-four thousand, eight hundred sixty-four".