92495040 has 224 divisors, whose sum is σ = 337962240. Its totient is φ = 21196800.

The previous prime is 92495027. The next prime is 92495047. The reversal of 92495040 is 4059429.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 92494992 and 92495010.

It is not an unprimeable number, because it can be changed into a prime (92495047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200410 + ... + 200870.

It is an arithmetic number, because the mean of its divisors is an integer number (1508760).

Almost surely, 2^92495040 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 92495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168981120).

92495040 is an abundant number, since it is smaller than the sum of its proper divisors (245467200).

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

92495040 is a wasteful number, since it uses less digits than its factorization.

92495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 92495040 is about 9617.4341692574. The cubic root of 92495040 is about 452.2440011843.

The spelling of 92495040 in words is "ninety-two million, four hundred ninety-five thousand, forty".