180640512 has 216 divisors, whose sum is σ = 579588464. Its totient is φ = 53747712.

The previous prime is 180640511. The next prime is 180640513. The reversal of 180640512 is 215046081.

180640512 is a `hidden beast` number, since 1 + 8 + 0 + 640 + 5 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (180640511) and next prime (180640513).

It is not an unprimeable number, because it can be changed into a prime (180640511) 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, 1108143 + ... + 1108305.

Almost surely, 2^180640512 is an apocalyptic number.

180640512 is a gapful number since it is divisible by the number (12) 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 180640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289794232).

180640512 is an abundant number, since it is smaller than the sum of its proper divisors (398947952).

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

180640512 is a wasteful number, since it uses less digits than its factorization.

180640512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 180640512 is about 13440.2571403973. The cubic root of 180640512 is about 565.2905410432.

Adding to 180640512 its reverse (215046081), we get a palindrome (395686593).

The spelling of 180640512 in words is "one hundred eighty million, six hundred forty thousand, five hundred twelve".