99662400 has 210 divisors, whose sum is σ = 366810290. Its totient is φ = 26542080.

The previous prime is 99662399. The next prime is 99662413. The reversal of 99662400 is 426699.

It can be written as a sum of positive squares in 3 ways, for example, as 3779136 + 95883264 = 1944^2 + 9792^2 .

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 29 ways as a sum of consecutive naturals, for example, 129216 + ... + 129984.

Almost surely, 2^99662400 is an apocalyptic number.

99662400 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 99662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183405145).

99662400 is an abundant number, since it is smaller than the sum of its proper divisors (267147890).

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

99662400 is a wasteful number, since it uses less digits than its factorization.

99662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 99662400 is about 9983.1057291807. The cubic root of 99662400 is about 463.6359609937.

The spelling of 99662400 in words is "ninety-nine million, six hundred sixty-two thousand, four hundred".