99633780 has 96 divisors (see below), whose sum is σ = 311498880. Its totient is φ = 26438400.

The previous prime is 99633761. The next prime is 99633797. The reversal of 99633780 is 8733699.

It is a happy number.

99633780 is a `hidden beast` number, since 9 + 9 + 633 + 7 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 165480 + ... + 166080.

It is an arithmetic number, because the mean of its divisors is an integer number (3244780).

Almost surely, 2^99633780 is an apocalyptic number.

99633780 is a gapful number since it is divisible by the number (90) 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 99633780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155749440).

99633780 is an abundant number, since it is smaller than the sum of its proper divisors (211865100).

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

99633780 is a wasteful number, since it uses less digits than its factorization.

99633780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 99633780 is about 9981.6722045958. The cubic root of 99633780 is about 463.5915760448.

The spelling of 99633780 in words is "ninety-nine million, six hundred thirty-three thousand, seven hundred eighty".