99967392 has 96 divisors (see below), whose sum is σ = 333244800. Its totient is φ = 28560384.

The previous prime is 99967367. The next prime is 99967403. The reversal of 99967392 is 29376999.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2217 + ... + 14312.

It is an arithmetic number, because the mean of its divisors is an integer number (3471300).

Almost surely, 2^99967392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99967392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166622400).

99967392 is an abundant number, since it is smaller than the sum of its proper divisors (233277408).

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

99967392 is a wasteful number, since it uses less digits than its factorization.

99967392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16555 (or 16541 counting only the distinct ones).

The product of its digits is 1653372, while the sum is 54.

The square root of 99967392 is about 9998.3694670681. The cubic root of 99967392 is about 464.1084269004.

The spelling of 99967392 in words is "ninety-nine million, nine hundred sixty-seven thousand, three hundred ninety-two".