99969120 has 192 divisors, whose sum is σ = 355803840. Its totient is φ = 26210304.

The previous prime is 99969091. The next prime is 99969131. The reversal of 99969120 is 2196999.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315202 + ... + 315518.

It is an arithmetic number, because the mean of its divisors is an integer number (1853145).

Almost surely, 2^99969120 is an apocalyptic number.

99969120 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 99969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177901920).

99969120 is an abundant number, since it is smaller than the sum of its proper divisors (255834720).

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

99969120 is a wasteful number, since it uses less digits than its factorization.

99969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 99969120 is about 9998.4558807848. The cubic root of 99969120 is about 464.1111010215. Note that the first 4 decimals are identical.

The spelling of 99969120 in words is "ninety-nine million, nine hundred sixty-nine thousand, one hundred twenty".