180968920 has 64 divisors (see below), whose sum is σ = 467596800. Its totient is φ = 62340480.

The previous prime is 180968911. The next prime is 180968929. The reversal of 180968920 is 29869081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (180968911) and next prime (180968929).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180968929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2464 + ... + 19183.

It is an arithmetic number, because the mean of its divisors is an integer number (7306200).

Almost surely, 2^180968920 is an apocalyptic number.

180968920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180968920 is an abundant number, since it is smaller than the sum of its proper divisors (286627880).

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

180968920 is a wasteful number, since it uses less digits than its factorization.

180968920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21688 (or 21684 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 180968920 is about 13452.4689183807. The cubic root of 180968920 is about 565.6329034232.

The spelling of 180968920 in words is "one hundred eighty million, nine hundred sixty-eight thousand, nine hundred twenty".