180081990 has 96 divisors (see below), whose sum is σ = 516121632. Its totient is φ = 43200000.

The previous prime is 180081971. The next prime is 180081991. The reversal of 180081990 is 99180081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180081991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99090 + ... + 100890.

It is an arithmetic number, because the mean of its divisors is an integer number (5376267).

Almost surely, 2^180081990 is an apocalyptic number.

180081990 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 180081990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258060816).

180081990 is an abundant number, since it is smaller than the sum of its proper divisors (336039642).

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

180081990 is a wasteful number, since it uses less digits than its factorization.

180081990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 180081990 is about 13419.4631040143. The cubic root of 180081990 is about 564.7073326977.

The spelling of 180081990 in words is "one hundred eighty million, eighty-one thousand, nine hundred ninety".