93506976 has 72 divisors (see below), whose sum is σ = 270466560. Its totient is φ = 30635136.

The previous prime is 93506969. The next prime is 93506977. The reversal of 93506976 is 67960539.

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

It is not an unprimeable number, because it can be changed into a prime (93506977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14241 + ... + 19743.

It is an arithmetic number, because the mean of its divisors is an integer number (3756480).

Almost surely, 2^93506976 is an apocalyptic number.

93506976 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 93506976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135233280).

93506976 is an abundant number, since it is smaller than the sum of its proper divisors (176959584).

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

93506976 is a wasteful number, since it uses less digits than its factorization.

93506976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5578 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 93506976 is about 9669.9005165513. The cubic root of 93506976 is about 453.8872717201.

The spelling of 93506976 in words is "ninety-three million, five hundred six thousand, nine hundred seventy-six".