99814080 has 112 divisors (see below), whose sum is σ = 319271904. Its totient is φ = 26419200.

The previous prime is 99814061. The next prime is 99814081. The reversal of 99814080 is 8041899.

It is not an unprimeable number, because it can be changed into a prime (99814081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165780 + ... + 166380.

It is an arithmetic number, because the mean of its divisors is an integer number (2850642).

Almost surely, 2^99814080 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 99814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159635952).

99814080 is an abundant number, since it is smaller than the sum of its proper divisors (219457824).

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

99814080 is a wasteful number, since it uses less digits than its factorization.

99814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 99814080 is about 9990.6996751979. The cubic root of 99814080 is about 463.8710501757.

The spelling of 99814080 in words is "ninety-nine million, eight hundred fourteen thousand, eighty".