92416896 has 384 divisors, whose sum is σ = 341863200. Its totient is φ = 24330240.

The previous prime is 92416889. The next prime is 92416901. The reversal of 92416896 is 69861429.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5436280 + ... + 5436296.

Almost surely, 2^92416896 is an apocalyptic number.

92416896 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 92416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170931600).

92416896 is an abundant number, since it is smaller than the sum of its proper divisors (249446304).

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

92416896 is a wasteful number, since it uses less digits than its factorization.

92416896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 92416896 is about 9613.3706887855. The cubic root of 92416896 is about 452.1166065614.

The spelling of 92416896 in words is "ninety-two million, four hundred sixteen thousand, eight hundred ninety-six".