180676440 has 128 divisors (see below), whose sum is σ = 688320000. Its totient is φ = 41295744.

The previous prime is 180676429. The next prime is 180676471. The reversal of 180676440 is 44676081.

180676440 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 7 + 644 + 0 = 666.

180676440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 = 180676395 and 180676404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4390 + ... + 19509.

It is an arithmetic number, because the mean of its divisors is an integer number (5377500).

Almost surely, 2^180676440 is an apocalyptic number.

180676440 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 180676440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344160000).

180676440 is an abundant number, since it is smaller than the sum of its proper divisors (507643560).

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

180676440 is a wasteful number, since it uses less digits than its factorization.

180676440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23926 (or 23916 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 180676440 is about 13441.5936555157. The cubic root of 180676440 is about 565.3280158636.

The spelling of 180676440 in words is "one hundred eighty million, six hundred seventy-six thousand, four hundred forty".