99732820 has 48 divisors (see below), whose sum is σ = 230630400. Its totient is φ = 35925120.

The previous prime is 99732811. The next prime is 99732821. The reversal of 99732820 is 2823799.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99732821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21901 + ... + 26059.

It is an arithmetic number, because the mean of its divisors is an integer number (4804800).

Almost surely, 2^99732820 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 99732820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115315200).

99732820 is an abundant number, since it is smaller than the sum of its proper divisors (130897580).

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

99732820 is a wasteful number, since it uses less digits than its factorization.

99732820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 99732820 is about 9986.6320649156. The cubic root of 99732820 is about 463.7451347562.

The spelling of 99732820 in words is "ninety-nine million, seven hundred thirty-two thousand, eight hundred twenty".