99942624 has 144 divisors (see below), whose sum is σ = 298024272. Its totient is φ = 31739904.

The previous prime is 99942611. The next prime is 99942629. The reversal of 99942624 is 42624999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 99942624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99942629) 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 23 ways as a sum of consecutive naturals, for example, 884392 + ... + 884504.

It is an arithmetic number, because the mean of its divisors is an integer number (2069613).

Almost surely, 2^99942624 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 99942624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149012136).

99942624 is an abundant number, since it is smaller than the sum of its proper divisors (198081648).

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

99942624 is a wasteful number, since it uses less digits than its factorization.

99942624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 99942624 is about 9997.1307883812. The cubic root of 99942624 is about 464.0700944443.

The spelling of 99942624 in words is "ninety-nine million, nine hundred forty-two thousand, six hundred twenty-four".