180985950 has 72 divisors (see below), whose sum is σ = 491821200. Its totient is φ = 47710080.

The previous prime is 180985879. The next prime is 180985969. The reversal of 180985950 is 59589081.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 180985896 and 180985905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37791 + ... + 42309.

It is an arithmetic number, because the mean of its divisors is an integer number (6830850).

Almost surely, 2^180985950 is an apocalyptic number.

180985950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180985950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245910600).

180985950 is an abundant number, since it is smaller than the sum of its proper divisors (310835250).

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

180985950 is a wasteful number, since it uses less digits than its factorization.

180985950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 180985950 is about 13453.1018728024. The cubic root of 180985950 is about 565.6506457446.

The spelling of 180985950 in words is "one hundred eighty million, nine hundred eighty-five thousand, nine hundred fifty".