99955584 has 48 divisors (see below), whose sum is σ = 287635920. Its totient is φ = 33318144.

The previous prime is 99955579. The next prime is 99955589. The reversal of 99955584 is 48555999.

99955584 is a `hidden beast` number, since 9 + 9 + 9 + 55 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (99955579) and next prime (99955589).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×99955584² = 19982237545562112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 99955584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99955589) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 42232 + ... + 44535.

It is an arithmetic number, because the mean of its divisors is an integer number (5992415).

Almost surely, 2^99955584 is an apocalyptic number.

It is an amenable number.

99955584 is an abundant number, since it is smaller than the sum of its proper divisors (187680336).

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

99955584 is a wasteful number, since it uses less digits than its factorization.

99955584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86787 (or 86772 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 54.

The square root of 99955584 is about 9997.7789533476. The cubic root of 99955584 is about 464.0901529146.

The spelling of 99955584 in words is "ninety-nine million, nine hundred fifty-five thousand, five hundred eighty-four".