93696960 has 224 divisors, whose sum is σ = 346447872. Its totient is φ = 21012480.

The previous prime is 93696959. The next prime is 93696983. The reversal of 93696960 is 6969639.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490465 + ... + 490655.

Almost surely, 2^93696960 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 93696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173223936).

93696960 is an abundant number, since it is smaller than the sum of its proper divisors (252750912).

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

93696960 is a wasteful number, since it uses less digits than its factorization.

93696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 48.

The square root of 93696960 is about 9679.7190041860. The cubic root of 93696960 is about 454.1944608676.

The spelling of 93696960 in words is "ninety-three million, six hundred ninety-six thousand, nine hundred sixty".