180913680 has 120 divisors (see below), whose sum is σ = 616299840. Its totient is φ = 47550720.

The previous prime is 180913673. The next prime is 180913703. The reversal of 180913680 is 86319081.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×180913680² = 65459519222284800, which contains 22 as substring.

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

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, 49351 + ... + 52889.

It is an arithmetic number, because the mean of its divisors is an integer number (5135832).

Almost surely, 2^180913680 is an apocalyptic number.

180913680 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 180913680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308149920).

180913680 is an abundant number, since it is smaller than the sum of its proper divisors (435386160).

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

180913680 is a wasteful number, since it uses less digits than its factorization.

180913680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3620 counting only the distinct ones).

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

The square root of 180913680 is about 13450.4156069617. The cubic root of 180913680 is about 565.5753452132.

The spelling of 180913680 in words is "one hundred eighty million, nine hundred thirteen thousand, six hundred eighty".