99116160 has 384 divisors, whose sum is σ = 391728960. Its totient is φ = 21012480.

The previous prime is 99116153. The next prime is 99116167. The reversal of 99116160 is 6161199.

99116160 is a nontrivial binomial coefficient, being equal to C(14080, 2).

It is an interprime number because it is at equal distance from previous prime (99116153) and next prime (99116167).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99116167) 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, 5216631 + ... + 5216649.

Almost surely, 2^99116160 is an apocalyptic number.

99116160 is the 14079-th triangular number and also the 7040-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195864480).

99116160 is an abundant number, since it is smaller than the sum of its proper divisors (292612800).

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

99116160 is a wasteful number, since it uses less digits than its factorization.

99116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 99116160 is about 9955.7099194382. The cubic root of 99116160 is about 462.7873607430.

The spelling of 99116160 in words is "ninety-nine million, one hundred sixteen thousand, one hundred sixty".