99992256 has 224 divisors, whose sum is σ = 334548480. Its totient is φ = 25657344.

The previous prime is 99992251. The next prime is 99992303. The reversal of 99992256 is 65229999.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 99992199 and 99992208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99992251) 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 31 ways as a sum of consecutive naturals, for example, 1030800 + ... + 1030896.

It is an arithmetic number, because the mean of its divisors is an integer number (1493520).

Almost surely, 2^99992256 is an apocalyptic number.

99992256 is a gapful number since it is divisible by the number (96) 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 99992256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167274240).

99992256 is an abundant number, since it is smaller than the sum of its proper divisors (234556224).

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

99992256 is a wasteful number, since it uses less digits than its factorization.

99992256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its digits is 787320, while the sum is 51.

The square root of 99992256 is about 9999.6127925035. The cubic root of 99992256 is about 464.1469015640.

The spelling of 99992256 in words is "ninety-nine million, nine hundred ninety-two thousand, two hundred fifty-six".