92890368 has 144 divisors (see below), whose sum is σ = 279619200. Its totient is φ = 30412800.

The previous prime is 92890349. The next prime is 92890381. The reversal of 92890368 is 86309829.

92890368 is a `hidden beast` number, since 9 + 289 + 0 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615093 + ... + 615243.

It is an arithmetic number, because the mean of its divisors is an integer number (1941800).

Almost surely, 2^92890368 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 92890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139809600).

92890368 is an abundant number, since it is smaller than the sum of its proper divisors (186728832).

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

92890368 is a wasteful number, since it uses less digits than its factorization.

92890368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

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

The square root of 92890368 is about 9637.9649304197. The cubic root of 92890368 is about 452.8873892271.

The spelling of 92890368 in words is "ninety-two million, eight hundred ninety thousand, three hundred sixty-eight".