99624960 has 288 divisors, whose sum is σ = 367960320. Its totient is φ = 24870912.

The previous prime is 99624929. The next prime is 99624997. The reversal of 99624960 is 6942699.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2119657 + ... + 2119703.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^99624960 is an apocalyptic number.

99624960 is a gapful number since it is divisible by the number (90) 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 99624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

99624960 is an abundant number, since it is smaller than the sum of its proper divisors (268335360).

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

99624960 is a wasteful number, since it uses less digits than its factorization.

99624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 99624960 is about 9981.2303850778. The cubic root of 99624960 is about 463.5778959510.

The spelling of 99624960 in words is "ninety-nine million, six hundred twenty-four thousand, nine hundred sixty".