99853920 has 144 divisors (see below), whose sum is σ = 360884160. Its totient is φ = 25055232.

The previous prime is 99853913. The next prime is 99853921. The reversal of 99853920 is 2935899.

99853920 is a `hidden beast` number, since 9 + 98 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99853921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22441 + ... + 26519.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2^99853920 is an apocalyptic number.

99853920 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 99853920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180442080).

99853920 is an abundant number, since it is smaller than the sum of its proper divisors (261030240).

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

99853920 is a wasteful number, since it uses less digits than its factorization.

99853920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 99853920 is about 9992.6933306291. The cubic root of 99853920 is about 463.9327587856.

The spelling of 99853920 in words is "ninety-nine million, eight hundred fifty-three thousand, nine hundred twenty".