99601920 has 320 divisors, whose sum is σ = 388903680. Its totient is φ = 23961600.

The previous prime is 99601907. The next prime is 99601951. The reversal of 99601920 is 2910699.

It is a tau number, because it is divible by the number of its divisors (320).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760255 + ... + 760385.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324).

Almost surely, 2^99601920 is an apocalyptic number.

99601920 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 99601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194451840).

99601920 is an abundant number, since it is smaller than the sum of its proper divisors (289301760).

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

99601920 is a wasteful number, since it uses less digits than its factorization.

99601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

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

The square root of 99601920 is about 9980.0761520141. The cubic root of 99601920 is about 463.5421563860.

The spelling of 99601920 in words is "ninety-nine million, six hundred one thousand, nine hundred twenty".