180368460 has 72 divisors (see below), whose sum is σ = 556120656. Its totient is φ = 47306880.

The previous prime is 180368459. The next prime is 180368467. The reversal of 180368460 is 64863081.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (180368467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2767 + ... + 19193.

It is an arithmetic number, because the mean of its divisors is an integer number (7723898).

Almost surely, 2^180368460 is an apocalyptic number.

180368460 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 180368460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278060328).

180368460 is an abundant number, since it is smaller than the sum of its proper divisors (375752196).

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

180368460 is a wasteful number, since it uses less digits than its factorization.

180368460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16503 (or 16498 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 180368460 is about 13430.1325384376. The cubic root of 180368460 is about 565.0066149015.

The spelling of 180368460 in words is "one hundred eighty million, three hundred sixty-eight thousand, four hundred sixty".