180017964 has 360 divisors, whose sum is σ = 625695840. Its totient is φ = 44706816.

The previous prime is 180017917. The next prime is 180018001. The reversal of 180017964 is 469710081.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6207502 + ... + 6207530.

It is an arithmetic number, because the mean of its divisors is an integer number (1738044).

Almost surely, 2^180017964 is an apocalyptic number.

180017964 is a gapful number since it is divisible by the number (14) 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 180017964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312847920).

180017964 is an abundant number, since it is smaller than the sum of its proper divisors (445677876).

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

180017964 is a wasteful number, since it uses less digits than its factorization.

180017964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 180017964 is about 13417.0773270485. The cubic root of 180017964 is about 564.6403997829.

The spelling of 180017964 in words is "one hundred eighty million, seventeen thousand, nine hundred sixty-four".