93630816 has 72 divisors (see below), whose sum is σ = 276147144. Its totient is φ = 31207680.

The previous prime is 93630799. The next prime is 93630827. The reversal of 93630816 is 61803639.

It is a happy number.

93630816 is a `hidden beast` number, since 9 + 3 + 630 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 1756 + ... + 13796.

It is an arithmetic number, because the mean of its divisors is an integer number (3835377).

Almost surely, 2^93630816 is an apocalyptic number.

93630816 is a gapful number since it is divisible by the number (96) 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 93630816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138073572).

93630816 is an abundant number, since it is smaller than the sum of its proper divisors (182516328).

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

93630816 is a wasteful number, since it uses less digits than its factorization.

93630816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066 (or 12046 counting only the distinct ones).

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

The square root of 93630816 is about 9676.3017728882. The cubic root of 93630816 is about 454.0875583936.

The spelling of 93630816 in words is "ninety-three million, six hundred thirty thousand, eight hundred sixteen".