180987840 has 336 divisors, whose sum is σ = 706099680. Its totient is φ = 42147840.

The previous prime is 180987809. The next prime is 180987841. The reversal of 180987840 is 48789081.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180987841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 918622 + ... + 918818.

Almost surely, 2^180987840 is an apocalyptic number.

180987840 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 180987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353049840).

180987840 is an abundant number, since it is smaller than the sum of its proper divisors (525111840).

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

180987840 is a wasteful number, since it uses less digits than its factorization.

180987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 180987840 is about 13453.1721166422. The cubic root of 180987840 is about 565.6526147298.

The spelling of 180987840 in words is "one hundred eighty million, nine hundred eighty-seven thousand, eight hundred forty".