180673632 has 96 divisors (see below), whose sum is σ = 533836800. Its totient is φ = 59439744.

The previous prime is 180673609. The next prime is 180673667. The reversal of 180673632 is 236376081.

It is a happy number.

180673632 is a `hidden beast` number, since 18 + 0 + 6 + 7 + 3 + 632 = 666.

180673632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×180673632² = 65285922600142848, which contains 22 as substring.

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

It is a congruent number.

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, 66933 + ... + 69579.

It is an arithmetic number, because the mean of its divisors is an integer number (5560800).

Almost surely, 2^180673632 is an apocalyptic number.

180673632 is a gapful number since it is divisible by the number (12) 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 180673632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266918400).

180673632 is an abundant number, since it is smaller than the sum of its proper divisors (353163168).

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

180673632 is a wasteful number, since it uses less digits than its factorization.

180673632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 180673632 is about 13441.4892032096. The cubic root of 180673632 is about 565.3250871488.

The spelling of 180673632 in words is "one hundred eighty million, six hundred seventy-three thousand, six hundred thirty-two".