99636480 has 270 divisors, whose sum is σ = 368389098. Its totient is φ = 25712640.

The previous prime is 99636469. The next prime is 99636491. The reversal of 99636480 is 8463699.

99636480 is a `hidden beast` number, since 9 + 9 + 636 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99636469) and next prime (99636491).

It can be written as a sum of positive squares in only one way, i.e., 79709184 + 19927296 = 8928^2 + 4464^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 29 ways as a sum of consecutive naturals, for example, 3214065 + ... + 3214095.

Almost surely, 2^99636480 is an apocalyptic number.

99636480 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 99636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184194549).

99636480 is an abundant number, since it is smaller than the sum of its proper divisors (268752618).

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

99636480 is an equidigital number, since it uses as much as digits as its factorization.

99636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 99636480 is about 9981.8074515591. The cubic root of 99636480 is about 463.5957636672.

Multiplying 99636480 by its sum of digits (45), we get a square (4483641600 = 66960²).

99636480 divided by its sum of digits (45) gives a square (2214144 = 1488²).

The spelling of 99636480 in words is "ninety-nine million, six hundred thirty-six thousand, four hundred eighty".