99517860 has 144 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 24111360.

The previous prime is 99517841. The next prime is 99517861. The reversal of 99517860 is 6871599.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (99517861) 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, 165841 + ... + 166439.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^99517860 is an apocalyptic number.

99517860 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 99517860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

99517860 is an abundant number, since it is smaller than the sum of its proper divisors (230702940).

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

99517860 is a wasteful number, since it uses less digits than its factorization.

99517860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 99517860 is about 9975.8638723671. The cubic root of 99517860 is about 463.4117160607.

The spelling of 99517860 in words is "ninety-nine million, five hundred seventeen thousand, eight hundred sixty".