99508416 has 112 divisors (see below), whose sum is σ = 307238400. Its totient is φ = 28412160.

The previous prime is 99508411. The next prime is 99508433. The reversal of 99508416 is 61480599.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (99508411) 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, 65101 + ... + 66611.

It is an arithmetic number, because the mean of its divisors is an integer number (2743200).

Almost surely, 2^99508416 is an apocalyptic number.

99508416 is a gapful number since it is divisible by the number (96) 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 99508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

99508416 is an abundant number, since it is smaller than the sum of its proper divisors (207729984).

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

99508416 is a wasteful number, since it uses less digits than its factorization.

99508416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 99508416 is about 9975.3905186714. The cubic root of 99508416 is about 463.3970567199.

The spelling of 99508416 in words is "ninety-nine million, five hundred eight thousand, four hundred sixteen".