99632736 has 144 divisors (see below), whose sum is σ = 328726944. Its totient is φ = 28035072.

The previous prime is 99632707. The next prime is 99632761. The reversal of 99632736 is 63723699.

99632736 is a `hidden beast` number, since 9 + 9 + 632 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 99632691 and 99632700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146830 + ... + 147506.

It is an arithmetic number, because the mean of its divisors is an integer number (2282826).

Almost surely, 2^99632736 is an apocalyptic number.

99632736 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 99632736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164363472).

99632736 is an abundant number, since it is smaller than the sum of its proper divisors (229094208).

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

99632736 is a wasteful number, since it uses less digits than its factorization.

99632736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 762 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 99632736 is about 9981.6199086120. The cubic root of 99632736 is about 463.5899568105.

The spelling of 99632736 in words is "ninety-nine million, six hundred thirty-two thousand, seven hundred thirty-six".