180672480 has 144 divisors (see below), whose sum is σ = 633394944. Its totient is φ = 46863360.

The previous prime is 180672473. The next prime is 180672487. The reversal of 180672480 is 84276081.

180672480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180672473) and next prime (180672487).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180672487) 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, 51585 + ... + 54975.

It is an arithmetic number, because the mean of its divisors is an integer number (4398576).

Almost surely, 2^180672480 is an apocalyptic number.

180672480 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 180672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316697472).

180672480 is an abundant number, since it is smaller than the sum of its proper divisors (452722464).

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

180672480 is a wasteful number, since it uses less digits than its factorization.

180672480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 180672480 is about 13441.4463507466. The cubic root of 180672480 is about 565.3238856160.

The spelling of 180672480 in words is "one hundred eighty million, six hundred seventy-two thousand, four hundred eighty".