180967680 has 216 divisors, whose sum is σ = 654308928. Its totient is φ = 46092288.

The previous prime is 180967667. The next prime is 180967687. The reversal of 180967680 is 86769081.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (180967687) 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, 264619 + ... + 265301.

It is an arithmetic number, because the mean of its divisors is an integer number (3029208).

Almost surely, 2^180967680 is an apocalyptic number.

180967680 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 180967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327154464).

180967680 is an abundant number, since it is smaller than the sum of its proper divisors (473341248).

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

180967680 is a wasteful number, since it uses less digits than its factorization.

180967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 716 counting only the distinct ones).

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

The square root of 180967680 is about 13452.4228301076. The cubic root of 180967680 is about 565.6316115137.

The spelling of 180967680 in words is "one hundred eighty million, nine hundred sixty-seven thousand, six hundred eighty".