99576000 has 224 divisors, whose sum is σ = 366125760. Its totient is φ = 26496000.

The previous prime is 99575989. The next prime is 99576007. The reversal of 99576000 is 67599.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (99576007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215770 + ... + 216230.

It is an arithmetic number, because the mean of its divisors is an integer number (1634490).

Almost surely, 2^99576000 is an apocalyptic number.

99576000 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 99576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183062880).

99576000 is an abundant number, since it is smaller than the sum of its proper divisors (266549760).

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

99576000 is a wasteful number, since it uses less digits than its factorization.

99576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 99576000 is about 9978.7774802327. Note that the first 3 decimals coincide. The cubic root of 99576000 is about 463.5019427868.

The spelling of 99576000 in words is "ninety-nine million, five hundred seventy-six thousand".