99305640 has 192 divisors, whose sum is σ = 372677760. Its totient is φ = 22464000.

The previous prime is 99305587. The next prime is 99305659. The reversal of 99305640 is 4650399.

99305640 is a `hidden beast` number, since 9 + 9 + 3 + 0 + 5 + 640 = 666.

It is a super-2 number, since 2×99305640² = 19723220271619200, which contains 22 as substring.

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 = 99305595 and 99305604.

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 47 ways as a sum of consecutive naturals, for example, 395515 + ... + 395765.

It is an arithmetic number, because the mean of its divisors is an integer number (1941030).

Almost surely, 2^99305640 is an apocalyptic number.

99305640 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 99305640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186338880).

99305640 is an abundant number, since it is smaller than the sum of its proper divisors (273372120).

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

99305640 is a wasteful number, since it uses less digits than its factorization.

99305640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 99305640 is about 9965.2215228764. The cubic root of 99305640 is about 463.0820759881.

The spelling of 99305640 in words is "ninety-nine million, three hundred five thousand, six hundred forty".