99889920 has 432 divisors, whose sum is σ = 401768640. Its totient is φ = 22708224.

The previous prime is 99889913. The next prime is 99889927. The reversal of 99889920 is 2998899.

It is an interprime number because it is at equal distance from previous prime (99889913) and next prime (99889927).

It is a super-2 number, since 2×99889920² = 19955992235212800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99889927) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3444466 + ... + 3444494.

It is an arithmetic number, because the mean of its divisors is an integer number (930020).

Almost surely, 2^99889920 is an apocalyptic number.

99889920 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 99889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200884320).

99889920 is an abundant number, since it is smaller than the sum of its proper divisors (301878720).

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

99889920 is a wasteful number, since it uses less digits than its factorization.

99889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 99889920 is about 9994.4944844649. The cubic root of 99889920 is about 463.9885054624.

The spelling of 99889920 in words is "ninety-nine million, eight hundred eighty-nine thousand, nine hundred twenty".