99753984 has 224 divisors, whose sum is σ = 330281280. Its totient is φ = 29491200.

The previous prime is 99753949. The next prime is 99753991. The reversal of 99753984 is 48935799.

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

It is a self number, because there is not a number n which added to its sum of digits gives 99753984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2433004 + ... + 2433044.

It is an arithmetic number, because the mean of its divisors is an integer number (1474470).

Almost surely, 2^99753984 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 99753984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165140640).

99753984 is an abundant number, since it is smaller than the sum of its proper divisors (230527296).

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

99753984 is a wasteful number, since it uses less digits than its factorization.

99753984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 99753984 is about 9987.6916251955. The cubic root of 99753984 is about 463.7779357534. Note that the first 3 decimals are identical.

The spelling of 99753984 in words is "ninety-nine million, seven hundred fifty-three thousand, nine hundred eighty-four".