99876820 has 36 divisors (see below), whose sum is σ = 215474364. Its totient is φ = 38864640.

The previous prime is 99876781. The next prime is 99876827. The reversal of 99876820 is 2867899.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1192464 + 98684356 = 1092^2 + 9934^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99876827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286006 + ... + 286354.

It is an arithmetic number, because the mean of its divisors is an integer number (5985399).

Almost surely, 2^99876820 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 99876820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107737182).

99876820 is an abundant number, since it is smaller than the sum of its proper divisors (115597544).

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

99876820 is a wasteful number, since it uses less digits than its factorization.

99876820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 99876820 is about 9993.8391021669. The cubic root of 99876820 is about 463.9682214165.

It can be divided in two parts, 9987 and 6820, that added together give a 5-th power (16807 = 7⁵).

The spelling of 99876820 in words is "ninety-nine million, eight hundred seventy-six thousand, eight hundred twenty".