99993696 has 144 divisors (see below), whose sum is σ = 301008960. Its totient is φ = 28821760.

The previous prime is 99993679. The next prime is 99993743. The reversal of 99993696 is 69639999.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 558535 + ... + 558713.

It is an arithmetic number, because the mean of its divisors is an integer number (2090340).

Almost surely, 2^99993696 is an apocalyptic number.

99993696 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 99993696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150504480).

99993696 is an abundant number, since it is smaller than the sum of its proper divisors (201015264).

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

99993696 is a wasteful number, since it uses less digits than its factorization.

99993696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 218 counting only the distinct ones).

The product of its digits is 6377292, while the sum is 60.

The square root of 99993696 is about 9999.6847950323. The cubic root of 99993696 is about 464.1491296310.

It can be divided in two parts, 9999 and 3696, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 99993696 in words is "ninety-nine million, nine hundred ninety-three thousand, six hundred ninety-six".