93921696 has 144 divisors (see below), whose sum is σ = 304274880. Its totient is φ = 27202560.

The previous prime is 93921679. The next prime is 93921697. The reversal of 93921696 is 69612939.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (93921697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72220 + ... + 73508.

It is an arithmetic number, because the mean of its divisors is an integer number (2113020).

Almost surely, 2^93921696 is an apocalyptic number.

93921696 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 93921696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152137440).

93921696 is an abundant number, since it is smaller than the sum of its proper divisors (210353184).

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

93921696 is a wasteful number, since it uses less digits than its factorization.

93921696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1328 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 93921696 is about 9691.3206530380. The cubic root of 93921696 is about 454.5573056013.

The spelling of 93921696 in words is "ninety-three million, nine hundred twenty-one thousand, six hundred ninety-six".