180504940 has 192 divisors, whose sum is σ = 516096000. Its totient is φ = 51321600.

The previous prime is 180504931. The next prime is 180504949. The reversal of 180504940 is 49405081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (180504931) and next prime (180504949).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (180504949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 906961 + ... + 907159.

It is an arithmetic number, because the mean of its divisors is an integer number (2688000).

Almost surely, 2^180504940 is an apocalyptic number.

180504940 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 180504940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258048000).

180504940 is an abundant number, since it is smaller than the sum of its proper divisors (335591060).

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

180504940 is a wasteful number, since it uses less digits than its factorization.

180504940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 180504940 is about 13435.2126890496. The cubic root of 180504940 is about 565.1490874480.

The spelling of 180504940 in words is "one hundred eighty million, five hundred four thousand, nine hundred forty".