93864960 has 352 divisors, whose sum is σ = 385163520. Its totient is φ = 21233664.

The previous prime is 93864907. The next prime is 93865019. The reversal of 93864960 is 6946839.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967632 + ... + 967728.

Almost surely, 2^93864960 is an apocalyptic number.

93864960 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 93864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192581760).

93864960 is an abundant number, since it is smaller than the sum of its proper divisors (291298560).

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

93864960 is a wasteful number, since it uses less digits than its factorization.

93864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 93864960 is about 9688.3930556104. The cubic root of 93864960 is about 454.4657578577.

The spelling of 93864960 in words is "ninety-three million, eight hundred sixty-four thousand, nine hundred sixty".