93631104 has 192 divisors, whose sum is σ = 326514240. Its totient is φ = 25141248.

The previous prime is 93631073. The next prime is 93631147. The reversal of 93631104 is 40113639.

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

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, 136747 + ... + 137429.

It is an arithmetic number, because the mean of its divisors is an integer number (1700595).

Almost surely, 2^93631104 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 93631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163257120).

93631104 is an abundant number, since it is smaller than the sum of its proper divisors (232883136).

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

93631104 is a wasteful number, since it uses less digits than its factorization.

93631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 93631104 is about 9676.3166545954. The cubic root of 93631104 is about 454.0880239707.

The spelling of 93631104 in words is "ninety-three million, six hundred thirty-one thousand, one hundred four".