99630400 has 84 divisors (see below), whose sum is σ = 248802652. Its totient is φ = 39260160.

The previous prime is 99630397. The next prime is 99630413. The reversal of 99630400 is 403699.

It can be written as a sum of positive squares in 6 ways, for example, as 13660416 + 85969984 = 3696^2 + 9272^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116374 + ... + 117226.

Almost surely, 2^99630400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124401326).

99630400 is an abundant number, since it is smaller than the sum of its proper divisors (149172252).

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

99630400 is a wasteful number, since it uses less digits than its factorization.

99630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 99630400 is about 9981.5028928514. The cubic root of 99630400 is about 463.5863336553.

The spelling of 99630400 in words is "ninety-nine million, six hundred thirty thousand, four hundred".