99993216 has 32 divisors (see below), whose sum is σ = 265608000. Its totient is φ = 33330944.

The previous prime is 99993211. The next prime is 99993253. The reversal of 99993216 is 61239999.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is not an unprimeable number, because it can be changed into a prime (99993211) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 129816 + ... + 130583.

It is an arithmetic number, because the mean of its divisors is an integer number (8300250).

Almost surely, 2^99993216 is an apocalyptic number.

99993216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

99993216 is an abundant number, since it is smaller than the sum of its proper divisors (165614784).

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

99993216 is a wasteful number, since it uses less digits than its factorization.

99993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260416 (or 260404 counting only the distinct ones).

The product of its digits is 236196, while the sum is 48.

The square root of 99993216 is about 9999.6607942470. The cubic root of 99993216 is about 464.1483869444.

The spelling of 99993216 in words is "ninety-nine million, nine hundred ninety-three thousand, two hundred sixteen".