92245860 has 144 divisors (see below), whose sum is σ = 322358400. Its totient is φ = 20915712.

The previous prime is 92245843. The next prime is 92245871. The reversal of 92245860 is 6854229.

92245860 = 256² + 257² + ... + 664².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 225336 + ... + 225744.

It is an arithmetic number, because the mean of its divisors is an integer number (2238600).

Almost surely, 2^92245860 is an apocalyptic number.

92245860 is a gapful number since it is divisible by the number (90) 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 92245860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161179200).

92245860 is an abundant number, since it is smaller than the sum of its proper divisors (230112540).

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

92245860 is a wasteful number, since it uses less digits than its factorization.

92245860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 92245860 is about 9604.4708339398. The cubic root of 92245860 is about 451.8375235071.

The spelling of 92245860 in words is "ninety-two million, two hundred forty-five thousand, eight hundred sixty".