180264960 has 224 divisors, whose sum is σ = 644834880. Its totient is φ = 47775744.

The previous prime is 180264871. The next prime is 180264967. The reversal of 180264960 is 69462081.

180264960 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 649 + 6 + 0 = 666.

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (180264967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105839 + ... + 1106001.

Almost surely, 2^180264960 is an apocalyptic number.

180264960 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 180264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322417440).

180264960 is an abundant number, since it is smaller than the sum of its proper divisors (464569920).

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

180264960 is an equidigital number, since it uses as much as digits as its factorization.

180264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 180264960 is about 13426.2787100522. The cubic root of 180264960 is about 564.8985225118.

The spelling of 180264960 in words is "one hundred eighty million, two hundred sixty-four thousand, nine hundred sixty".