99882720 has 288 divisors, whose sum is σ = 405070848. Its totient is φ = 22768128.

The previous prime is 99882719. The next prime is 99882733. The reversal of 99882720 is 2728899.

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 congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 271977 + ... + 272343.

It is an arithmetic number, because the mean of its divisors is an integer number (1406496).

Almost surely, 2^99882720 is an apocalyptic number.

99882720 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 99882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202535424).

99882720 is an abundant number, since it is smaller than the sum of its proper divisors (305188128).

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

99882720 is a wasteful number, since it uses less digits than its factorization.

99882720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 99882720 is about 9994.1342796662. The cubic root of 99882720 is about 463.9773571987.

The spelling of 99882720 in words is "ninety-nine million, eight hundred eighty-two thousand, seven hundred twenty".