99967008 has 48 divisors (see below), whose sum is σ = 263571840. Its totient is φ = 33175296.

The previous prime is 99967001. The next prime is 99967009. The reversal of 99967008 is 80076999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 (99967001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20766 + ... + 25122.

It is an arithmetic number, because the mean of its divisors is an integer number (5491080).

Almost surely, 2^99967008 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 99967008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131785920).

99967008 is an abundant number, since it is smaller than the sum of its proper divisors (163604832).

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

99967008 is a wasteful number, since it uses less digits than its factorization.

99967008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 99967008 is about 9998.3502639185. The cubic root of 99967008 is about 464.1078326470.

The spelling of 99967008 in words is "ninety-nine million, nine hundred sixty-seven thousand, eight".