99760320 has 336 divisors, whose sum is σ = 387998208. Its totient is φ = 23316480.

The previous prime is 99760307. The next prime is 99760321. The reversal of 99760320 is 2306799.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (99760321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1488927 + ... + 1488993.

Almost surely, 2^99760320 is an apocalyptic number.

99760320 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 99760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193999104).

99760320 is an abundant number, since it is smaller than the sum of its proper divisors (288237888).

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

99760320 is a wasteful number, since it uses less digits than its factorization.

99760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 99760320 is about 9988.0088105688. The cubic root of 99760320 is about 463.7877546922.

The spelling of 99760320 in words is "ninety-nine million, seven hundred sixty thousand, three hundred twenty".