180746316 has 72 divisors (see below), whose sum is σ = 498796480. Its totient is φ = 57071952.

The previous prime is 180746309. The next prime is 180746317. The reversal of 180746316 is 613647081.

180746316 is a `hidden beast` number, since 18 + 0 + 7 + 4 + 631 + 6 = 666.

180746316 is digitally balanced in base 2, because in such base 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 not an unprimeable number, because it can be changed into a prime (180746317) 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, 13575 + ... + 23361.

Almost surely, 2^180746316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180746316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249398240).

180746316 is an abundant number, since it is smaller than the sum of its proper divisors (318050164).

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

180746316 is a wasteful number, since it uses less digits than its factorization.

180746316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9825 (or 9811 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 180746316 is about 13444.1926496164. The cubic root of 180746316 is about 565.4008860342.

It can be divided in two parts, 180 and 746316, that added together give a square (746496 = 864²).

The spelling of 180746316 in words is "one hundred eighty million, seven hundred forty-six thousand, three hundred sixteen".