99384768 has 126 divisors (see below), whose sum is σ = 327650856. Its totient is φ = 28214784.

The previous prime is 99384767. The next prime is 99384773. The reversal of 99384768 is 86748399.

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

It is a super-2 number, since 2×99384768² = 19754664220827648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99384767) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 632946 + ... + 633102.

Almost surely, 2^99384768 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 99384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163825428).

99384768 is an abundant number, since it is smaller than the sum of its proper divisors (228266088).

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

99384768 is a wasteful number, since it uses less digits than its factorization.

99384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 169 counting only the distinct ones).

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

The square root of 99384768 is about 9969.1909400914. The cubic root of 99384768 is about 463.2050399015.

It can be divided in two parts, 9938 and 4768, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 99384768 in words is "ninety-nine million, three hundred eighty-four thousand, seven hundred sixty-eight".