93631680 has 112 divisors (see below), whose sum is σ = 330342240. Its totient is φ = 24966144.

The previous prime is 93631673. The next prime is 93631693. The reversal of 93631680 is 8613639.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 3222 + ... + 14058.

Almost surely, 2^93631680 is an apocalyptic number.

93631680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165171120).

93631680 is an abundant number, since it is smaller than the sum of its proper divisors (236710560).

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

93631680 is a wasteful number, since it uses less digits than its factorization.

93631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10863 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 93631680 is about 9676.3464179410. The cubic root of 93631680 is about 454.0889551220.

It can be divided in two parts, 936316 and 80, that added together give a triangular number (936396 = T₁₃₆₈).

The spelling of 93631680 in words is "ninety-three million, six hundred thirty-one thousand, six hundred eighty".