99840972 has 192 divisors, whose sum is σ = 314818560. Its totient is φ = 24045120.

The previous prime is 99840971. The next prime is 99841031. The reversal of 99840972 is 27904899.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (99840971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2124253 + ... + 2124299.

It is an arithmetic number, because the mean of its divisors is an integer number (1639680).

Almost surely, 2^99840972 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 99840972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157409280).

99840972 is an abundant number, since it is smaller than the sum of its proper divisors (214977588).

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

99840972 is a wasteful number, since it uses less digits than its factorization.

99840972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 99840972 is about 9992.0454362458. The cubic root of 99840972 is about 463.9127052881.

The spelling of 99840972 in words is "ninety-nine million, eight hundred forty thousand, nine hundred seventy-two".