99756384 has 192 divisors, whose sum is σ = 339816960. Its totient is φ = 24883200.

The previous prime is 99756379. The next prime is 99756389. The reversal of 99756384 is 48365799.

It is an interprime number because it is at equal distance from previous prime (99756379) and next prime (99756389).

It is a super-2 number, since 2×99756384² = 19902672297510912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99756389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165684 + ... + 166284.

It is an arithmetic number, because the mean of its divisors is an integer number (1769880).

Almost surely, 2^99756384 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 99756384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169908480).

99756384 is an abundant number, since it is smaller than the sum of its proper divisors (240060576).

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

99756384 is a wasteful number, since it uses less digits than its factorization.

99756384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 99756384 is about 9987.8117723553. The cubic root of 99756384 is about 463.7816550973.

It can be divided in two parts, 9975 and 6384, that multiplied together give a square (63680400 = 7980²).

The spelling of 99756384 in words is "ninety-nine million, seven hundred fifty-six thousand, three hundred eighty-four".