99804960 has 288 divisors, whose sum is σ = 376451712. Its totient is φ = 24883200.

The previous prime is 99804959. The next prime is 99804983. The reversal of 99804960 is 6940899.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×99804960² = 19922060081203200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660885 + ... + 661035.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^99804960 is an apocalyptic number.

99804960 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 99804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

99804960 is an abundant number, since it is smaller than the sum of its proper divisors (276646752).

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

99804960 is a wasteful number, since it uses less digits than its factorization.

99804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 99804960 is about 9990.2432402820. The cubic root of 99804960 is about 463.8569217988.

The spelling of 99804960 in words is "ninety-nine million, eight hundred four thousand, nine hundred sixty".