180887040 has 160 divisors (see below), whose sum is σ = 642771360. Its totient is φ = 48218112.

The previous prime is 180887033. The next prime is 180887041. The reversal of 180887040 is 40788081.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a junction number, because it is equal to n+sod(n) for n = 180886986 and 180887004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180887041) 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, 67812 + ... + 70428.

It is an arithmetic number, because the mean of its divisors is an integer number (4017321).

Almost surely, 2^180887040 is an apocalyptic number.

180887040 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 180887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321385680).

180887040 is an abundant number, since it is smaller than the sum of its proper divisors (461884320).

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

180887040 is an equidigital number, since it uses as much as digits as its factorization.

180887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 180887040 is about 13449.4252665309. The cubic root of 180887040 is about 565.5475830473.

The spelling of 180887040 in words is "one hundred eighty million, eight hundred eighty-seven thousand, forty".