185485680 has 160 divisors (see below), whose sum is σ = 647577600. Its totient is φ = 48791808.

The previous prime is 185485673. The next prime is 185485693. The reversal of 185485680 is 86584581.

185485680 is a `hidden beast` number, since 1 + 85 + 4 + 8 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170097 + ... + 171183.

It is an arithmetic number, because the mean of its divisors is an integer number (4047360).

Almost surely, 2^185485680 is an apocalyptic number.

185485680 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 185485680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323788800).

185485680 is an abundant number, since it is smaller than the sum of its proper divisors (462091920).

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

185485680 is a wasteful number, since it uses less digits than its factorization.

185485680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 185485680 is about 13619.3127579919. The cubic root of 185485680 is about 570.3001189606.

The spelling of 185485680 in words is "one hundred eighty-five million, four hundred eighty-five thousand, six hundred eighty".