99657216 has 160 divisors (see below), whose sum is σ = 301989600. Its totient is φ = 32845824.

The previous prime is 99657209. The next prime is 99657221. The reversal of 99657216 is 61275699.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119700 + ... + 1119788.

It is an arithmetic number, because the mean of its divisors is an integer number (1887435).

Almost surely, 2^99657216 is an apocalyptic number.

99657216 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 99657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150994800).

99657216 is an abundant number, since it is smaller than the sum of its proper divisors (202332384).

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

99657216 is an frugal number, since it uses more digits than its factorization.

99657216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 94 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 99657216 is about 9982.8460871637. The cubic root of 99657216 is about 463.6279220860.

The spelling of 99657216 in words is "ninety-nine million, six hundred fifty-seven thousand, two hundred sixteen".