180685440 has 384 divisors, whose sum is σ = 712857600. Its totient is φ = 41803776.

The previous prime is 180685409. The next prime is 180685501. The reversal of 180685440 is 44586081.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 180685395 and 180685404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422657 + ... + 1422783.

It is an arithmetic number, because the mean of its divisors is an integer number (1856400).

Almost surely, 2^180685440 is an apocalyptic number.

180685440 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 180685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428800).

180685440 is an abundant number, since it is smaller than the sum of its proper divisors (532172160).

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

180685440 is a wasteful number, since it uses less digits than its factorization.

180685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 180685440 is about 13441.9284330783. The cubic root of 180685440 is about 565.3374025655.

The spelling of 180685440 in words is "one hundred eighty million, six hundred eighty-five thousand, four hundred forty".