99590400 has 648 divisors, whose sum is σ = 461289920. Its totient is φ = 19906560.

The previous prime is 99590371. The next prime is 99590411. The reversal of 99590400 is 409599.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241591 + ... + 5241609.

Almost surely, 2^99590400 is an apocalyptic number.

99590400 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 99590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230644960).

99590400 is an abundant number, since it is smaller than the sum of its proper divisors (361699520).

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

99590400 is a wasteful number, since it uses less digits than its factorization.

99590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 99590400 is about 9979.4989854201. The cubic root of 99590400 is about 463.5242845367.

Adding to 99590400 its reverse (409599), we get a palindrome (99999999).

The spelling of 99590400 in words is "ninety-nine million, five hundred ninety thousand, four hundred".