99983520 has 432 divisors, whose sum is σ = 431350920. Its totient is φ = 20901888.

The previous prime is 99983489. The next prime is 99983563. The reversal of 99983520 is 2538999.

It can be written as a sum of positive squares in 4 ways, for example, as 71978256 + 28005264 = 8484^2 + 5292^2 .

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917226 + ... + 917334.

Almost surely, 2^99983520 is an apocalyptic number.

99983520 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 99983520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215675460).

99983520 is an abundant number, since it is smaller than the sum of its proper divisors (331367400).

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

99983520 is a wasteful number, since it uses less digits than its factorization.

99983520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 139 counting only the distinct ones).

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

The square root of 99983520 is about 9999.1759660484. The cubic root of 99983520 is about 464.1333841658.

The spelling of 99983520 in words is "ninety-nine million, nine hundred eighty-three thousand, five hundred twenty".