99512640 has 168 divisors, whose sum is σ = 346511880. Its totient is φ = 26210304.

The previous prime is 99512603. The next prime is 99512653. The reversal of 99512640 is 4621599.

99512640 is a `hidden beast` number, since 9 + 9 + 5 + 1 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 97298496 = 1488^2 + 9864^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 99512595 and 99512604.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 313762 + ... + 314078.

Almost surely, 2^99512640 is an apocalyptic number.

99512640 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 99512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173255940).

99512640 is an abundant number, since it is smaller than the sum of its proper divisors (246999240).

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

99512640 is a wasteful number, since it uses less digits than its factorization.

99512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 99512640 is about 9975.6022374592. The cubic root of 99512640 is about 463.4036134901.

The spelling of 99512640 in words is "ninety-nine million, five hundred twelve thousand, six hundred forty".