99812880 has 60 divisors (see below), whose sum is σ = 335207340. Its totient is φ = 26616576.

The previous prime is 99812879. The next prime is 99812891. The reversal of 99812880 is 8821899.

It can be written as a sum of positive squares in 2 ways, for example, as 47279376 + 52533504 = 6876^2 + 7248^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×99812880² = 19925222027788800, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 68595 + ... + 70034.

It is an arithmetic number, because the mean of its divisors is an integer number (5586789).

Almost surely, 2^99812880 is an apocalyptic number.

99812880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99812880 is an abundant number, since it is smaller than the sum of its proper divisors (235394460).

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

99812880 is a wasteful number, since it uses less digits than its factorization.

99812880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138648 (or 138639 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 99812880 is about 9990.6396191635. The cubic root of 99812880 is about 463.8691912279.

The spelling of 99812880 in words is "ninety-nine million, eight hundred twelve thousand, eight hundred eighty".