180968640 has 112 divisors (see below), whose sum is σ = 579363840. Its totient is φ = 47856640.

The previous prime is 180968617. The next prime is 180968653. The reversal of 180968640 is 46869081.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 180968592 and 180968601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125041 + ... + 126479.

Almost surely, 2^180968640 is an apocalyptic number.

180968640 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 180968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289681920).

180968640 is an abundant number, since it is smaller than the sum of its proper divisors (398395200).

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

180968640 is a wasteful number, since it uses less digits than its factorization.

180968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 180968640 is about 13452.4585113651. The cubic root of 180968640 is about 565.6326117023.

The spelling of 180968640 in words is "one hundred eighty million, nine hundred sixty-eight thousand, six hundred forty".