185380000 has 240 divisors, whose sum is σ = 529030656. Its totient is φ = 63360000.

The previous prime is 185379973. The next prime is 185380033. The reversal of 185380000 is 83581.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 5979985 + ... + 5980015.

Almost surely, 2^185380000 is an apocalyptic number.

185380000 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 185380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264515328).

185380000 is an abundant number, since it is smaller than the sum of its proper divisors (343650656).

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

185380000 is a wasteful number, since it uses less digits than its factorization.

185380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 185380000 is about 13615.4324206027. The cubic root of 185380000 is about 570.1917893647.

The spelling of 185380000 in words is "one hundred eighty-five million, three hundred eighty thousand".