185040 has 60 divisors (see below), whose sum is σ = 623844. Its totient is φ = 49152.

The previous prime is 185027. The next prime is 185051. The reversal of 185040 is 40581.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 46656 = 372^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592 + ... + 848.

2¹⁸⁵⁰⁴⁰ is an apocalyptic number.

185040 is a gapful number since it is divisible by the number (10) 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 185040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311922).

185040 is an abundant number, since it is smaller than the sum of its proper divisors (438804).

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

185040 is a wasteful number, since it uses less digits than its factorization.

185040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 185040 is about 430.1627598944. The cubic root of 185040 is about 56.9842985376.

The spelling of 185040 in words is "one hundred eighty-five thousand, forty".