99120960 has 168 divisors, whose sum is σ = 344887296. Its totient is φ = 26127360.

The previous prime is 99120953. The next prime is 99120997. The reversal of 99120960 is 6902199.

It is a super-2 number, since 2×99120960² = 19649929422643200, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 365625 + ... + 365895.

Almost surely, 2^99120960 is an apocalyptic number.

99120960 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 99120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172443648).

99120960 is an abundant number, since it is smaller than the sum of its proper divisors (245766336).

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

99120960 is a wasteful number, since it uses less digits than its factorization.

99120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 99120960 is about 9955.9509842104. The cubic root of 99120960 is about 462.7948312486.

The spelling of 99120960 in words is "ninety-nine million, one hundred twenty thousand, nine hundred sixty".