99193920 has 224 divisors, whose sum is σ = 373075200. Its totient is φ = 21848064.

The previous prime is 99193909. The next prime is 99193931. The reversal of 99193920 is 2939199.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99193909) and next prime (99193931).

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194626 + ... + 195134.

Almost surely, 2^99193920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186537600).

99193920 is an abundant number, since it is smaller than the sum of its proper divisors (273881280).

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

99193920 is a wasteful number, since it uses less digits than its factorization.

99193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 42.

The square root of 99193920 is about 9959.6144503691. The cubic root of 99193920 is about 462.9083532513.

The spelling of 99193920 in words is "ninety-nine million, one hundred ninety-three thousand, nine hundred twenty".