99891792 has 450 divisors, whose sum is σ = 398108634. Its totient is φ = 23950080.

The previous prime is 99891791. The next prime is 99891811. The reversal of 99891792 is 29719899.

It can be written as a sum of positive squares in only one way, i.e., 69155856 + 30735936 = 8316^2 + 5544^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (734832) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99891791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7683978 + ... + 7683990.

Almost surely, 2^99891792 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 99891792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199054317).

99891792 is an abundant number, since it is smaller than the sum of its proper divisors (298216842).

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

99891792 is a wasteful number, since it uses less digits than its factorization.

99891792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 36 counting only the distinct ones).

The product of its digits is 734832, while the sum is 54.

The square root of 99891792 is about 9994.5881355862. The cubic root of 99891792 is about 463.9914039232.

It can be divided in two parts, 9989 and 1792, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 99891792 in words is "ninety-nine million, eight hundred ninety-one thousand, seven hundred ninety-two".