180368448 has 112 divisors (see below), whose sum is σ = 518891520. Its totient is φ = 54964224.

The previous prime is 180368437. The next prime is 180368459. The reversal of 180368448 is 844863081.

It is an interprime number because it is at equal distance from previous prime (180368437) and next prime (180368459).

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, 316708 + ... + 317276.

It is an arithmetic number, because the mean of its divisors is an integer number (4632960).

Almost surely, 2^180368448 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 180368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259445760).

180368448 is an abundant number, since it is smaller than the sum of its proper divisors (338523072).

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

180368448 is a wasteful number, since it uses less digits than its factorization.

180368448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 180368448 is about 13430.1320916810. The cubic root of 180368448 is about 565.0066023715.

The spelling of 180368448 in words is "one hundred eighty million, three hundred sixty-eight thousand, four hundred forty-eight".