180768960 has 168 divisors, whose sum is σ = 649041120. Its totient is φ = 46092288.

The previous prime is 180768949. The next prime is 180768971. The reversal of 180768960 is 69867081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (180768949) and next prime (180768971).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64876 + ... + 67604.

It is an arithmetic number, because the mean of its divisors is an integer number (3863340).

Almost surely, 2^180768960 is an apocalyptic number.

180768960 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 180768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324520560).

180768960 is an abundant number, since it is smaller than the sum of its proper divisors (468272160).

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

180768960 is a wasteful number, since it uses less digits than its factorization.

180768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 180768960 is about 13445.0347712455. The cubic root of 180768960 is about 565.4244962951.

The spelling of 180768960 in words is "one hundred eighty million, seven hundred sixty-eight thousand, nine hundred sixty".