99146880 has 192 divisors, whose sum is σ = 391435200. Its totient is φ = 22652928.

The previous prime is 99146867. The next prime is 99146881. The reversal of 99146880 is 8864199.

It is a tau number, because it is divible by the number of its divisors (192).

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 (99146881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39091 + ... + 41549.

It is an arithmetic number, because the mean of its divisors is an integer number (2038725).

Almost surely, 2^99146880 is an apocalyptic number.

99146880 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 99146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195717600).

99146880 is an abundant number, since it is smaller than the sum of its proper divisors (292288320).

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

99146880 is a wasteful number, since it uses less digits than its factorization.

99146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 99146880 is about 9957.2526331313. The cubic root of 99146880 is about 462.8351678116.

The spelling of 99146880 in words is "ninety-nine million, one hundred forty-six thousand, eight hundred eighty".