99884736 has 126 divisors (see below), whose sum is σ = 333138780. Its totient is φ = 28530432.

The previous prime is 99884723. The next prime is 99884737. The reversal of 99884736 is 63748899.

99884736 is a `hidden beast` number, since 99 + 88 + 473 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99884737) 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 17 ways as a sum of consecutive naturals, for example, 26455 + ... + 29993.

Almost surely, 2^99884736 is an apocalyptic number.

99884736 is a gapful number since it is divisible by the number (96) 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 99884736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166569390).

99884736 is an abundant number, since it is smaller than the sum of its proper divisors (233254044).

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

99884736 is a wasteful number, since it uses less digits than its factorization.

99884736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3551 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 99884736 is about 9994.2351383185. The cubic root of 99884736 is about 463.9804787665.

It can be divided in two parts, 9 and 9884736, that multiplied together give a square (88962624 = 9432²).

The spelling of 99884736 in words is "ninety-nine million, eight hundred eighty-four thousand, seven hundred thirty-six".