180464640 has 176 divisors, whose sum is σ = 597396480. Its totient is φ = 46448640.

The previous prime is 180464617. The next prime is 180464653. The reversal of 180464640 is 46464081.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475971 + ... + 476349.

Almost surely, 2^180464640 is an apocalyptic number.

180464640 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 180464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298698240).

180464640 is an abundant number, since it is smaller than the sum of its proper divisors (416931840).

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

180464640 is a wasteful number, since it uses less digits than its factorization.

180464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 180464640 is about 13433.7128151528. The cubic root of 180464640 is about 565.1070254350.

The spelling of 180464640 in words is "one hundred eighty million, four hundred sixty-four thousand, six hundred forty".