180535680 has 192 divisors, whose sum is σ = 671645520. Its totient is φ = 44421120.

The previous prime is 180535679. The next prime is 180535681. The reversal of 180535680 is 86535081.

It is an interprime number because it is at equal distance from previous prime (180535679) and next prime (180535681).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180535681) 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, 73675 + ... + 76085.

Almost surely, 2^180535680 is an apocalyptic number.

180535680 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 180535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335822760).

180535680 is an abundant number, since it is smaller than the sum of its proper divisors (491109840).

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

180535680 is a wasteful number, since it uses less digits than its factorization.

180535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 180535680 is about 13436.3566490325. The cubic root of 180535680 is about 565.1811672660.

The spelling of 180535680 in words is "one hundred eighty million, five hundred thirty-five thousand, six hundred eighty".