180864240 has 80 divisors (see below), whose sum is σ = 565999488. Its totient is φ = 47772928.

The previous prime is 180864239. The next prime is 180864247. The reversal of 180864240 is 42468081.

180864240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180864247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22159 + ... + 29201.

Almost surely, 2^180864240 is an apocalyptic number.

180864240 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 180864240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282999744).

180864240 is an abundant number, since it is smaller than the sum of its proper divisors (385135248).

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

180864240 is a wasteful number, since it uses less digits than its factorization.

180864240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 180864240 is about 13448.5776199567. The cubic root of 180864240 is about 565.5238204702.

The spelling of 180864240 in words is "one hundred eighty million, eight hundred sixty-four thousand, two hundred forty".