99180720 has 320 divisors, whose sum is σ = 376583040. Its totient is φ = 23887872.

The previous prime is 99180709. The next prime is 99180721. The reversal of 99180720 is 2708199.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99180721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1358604 + ... + 1358676.

It is an arithmetic number, because the mean of its divisors is an integer number (1176822).

Almost surely, 2^99180720 is an apocalyptic number.

99180720 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 99180720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188291520).

99180720 is an abundant number, since it is smaller than the sum of its proper divisors (277402320).

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

99180720 is a wasteful number, since it uses less digits than its factorization.

99180720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 99180720 is about 9958.9517520671. The cubic root of 99180720 is about 462.8878188566.

The spelling of 99180720 in words is "ninety-nine million, one hundred eighty thousand, seven hundred twenty".