99966816 has 72 divisors (see below), whose sum is σ = 293477184. Its totient is φ = 32244480.

The previous prime is 99966773. The next prime is 99966829. The reversal of 99966816 is 61866999.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3330 + ... + 14526.

It is an arithmetic number, because the mean of its divisors is an integer number (4076072).

Almost surely, 2^99966816 is an apocalyptic number.

99966816 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 99966816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146738592).

99966816 is an abundant number, since it is smaller than the sum of its proper divisors (193510368).

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

99966816 is a wasteful number, since it uses less digits than its factorization.

99966816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11244 (or 11233 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 99966816 is about 9998.3406623299. The cubic root of 99966816 is about 464.1075355198.

The spelling of 99966816 in words is "ninety-nine million, nine hundred sixty-six thousand, eight hundred sixteen".