99984456 has 240 divisors, whose sum is σ = 334802160. Its totient is φ = 27630720.

The previous prime is 99984449. The next prime is 99984457. The reversal of 99984456 is 65448999.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (99984457) 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 59 ways as a sum of consecutive naturals, for example, 1204591 + ... + 1204673.

It is an arithmetic number, because the mean of its divisors is an integer number (1395009).

Almost surely, 2^99984456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99984456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167401080).

99984456 is an abundant number, since it is smaller than the sum of its proper divisors (234817704).

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

99984456 is a wasteful number, since it uses less digits than its factorization.

99984456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 99984456 is about 9999.2227697957. Note that the first 3 decimals coincide. The cubic root of 99984456 is about 464.1348324961.

The spelling of 99984456 in words is "ninety-nine million, nine hundred eighty-four thousand, four hundred fifty-six".