180294912 has 162 divisors, whose sum is σ = 605084298. Its totient is φ = 51480576.

The previous prime is 180294901. The next prime is 180294929. The reversal of 180294912 is 219492081.

It can be written as a sum of positive squares in only one way, i.e., 130507776 + 49787136 = 11424^2 + 7056^2 .

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 17 ways as a sum of consecutive naturals, for example, 112098 + ... + 113694.

Almost surely, 2^180294912 is an apocalyptic number.

180294912 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 180294912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302542149).

180294912 is an abundant number, since it is smaller than the sum of its proper divisors (424789386).

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

180294912 is a wasteful number, since it uses less digits than its factorization.

180294912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 180294912 is about 13427.3940882064. The cubic root of 180294912 is about 564.9298077627.

The spelling of 180294912 in words is "one hundred eighty million, two hundred ninety-four thousand, nine hundred twelve".