99888480 has 144 divisors (see below), whose sum is σ = 346024224. Its totient is φ = 26234880.

The previous prime is 99888457. The next prime is 99888487. The reversal of 99888480 is 8488899.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99888487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 101752 + ... + 102728.

It is an arithmetic number, because the mean of its divisors is an integer number (2402946).

Almost surely, 2^99888480 is an apocalyptic number.

99888480 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 99888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173012112).

99888480 is an abundant number, since it is smaller than the sum of its proper divisors (246135744).

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

99888480 is a wasteful number, since it uses less digits than its factorization.

99888480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 99888480 is about 9994.4224445438. The cubic root of 99888480 is about 463.9862758525.

The spelling of 99888480 in words is "ninety-nine million, eight hundred eighty-eight thousand, four hundred eighty".