99524880 has 480 divisors, whose sum is σ = 433305600. Its totient is φ = 20321280.

The previous prime is 99524879. The next prime is 99524881. The reversal of 99524880 is 8842599.

It is an interprime number because it is at equal distance from previous prime (99524879) and next prime (99524881).

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

It is not an unprimeable number, because it can be changed into a prime (99524881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3210465 + ... + 3210495.

It is an arithmetic number, because the mean of its divisors is an integer number (902720).

Almost surely, 2^99524880 is an apocalyptic number.

99524880 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 99524880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216652800).

99524880 is an abundant number, since it is smaller than the sum of its proper divisors (333780720).

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

99524880 is a wasteful number, since it uses less digits than its factorization.

99524880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 99524880 is about 9976.2157153903. The cubic root of 99524880 is about 463.4226121744.

The spelling of 99524880 in words is "ninety-nine million, five hundred twenty-four thousand, eight hundred eighty".