99600400 has 45 divisors (see below), whose sum is σ = 239770461. Its totient is φ = 39760320.

The previous prime is 99600377. The next prime is 99600401. The reversal of 99600400 is 400699.

The square root of 99600400 is 9980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35856144 + 63744256 = 5988^2 + 7984^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99600401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 199351 + ... + 199849.

Almost surely, 2^99600400 is an apocalyptic number.

99600400 is the 9980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99600400

99600400 is an abundant number, since it is smaller than the sum of its proper divisors (140170061).

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

99600400 is an equidigital number, since it uses as much as digits as its factorization.

99600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The cubic root of 99600400 is about 463.5397983737.

It can be divided in two parts, 99600 and 400, that added together give a 5-th power (100000 = 10⁵).

The spelling of 99600400 in words is "ninety-nine million, six hundred thousand, four hundred".