180537840 has 240 divisors, whose sum is σ = 701258688. Its totient is φ = 40771584.

The previous prime is 180537839. The next prime is 180537853. The reversal of 180537840 is 48735081.

180537840 is a `hidden beast` number, since 1 + 80 + 537 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 180537795 and 180537804.

It is a congruent number.

It is an unprimeable number.

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, 569362 + ... + 569678.

Almost surely, 2^180537840 is an apocalyptic number.

180537840 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 180537840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350629344).

180537840 is an abundant number, since it is smaller than the sum of its proper divisors (520720848).

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

180537840 is a wasteful number, since it uses less digits than its factorization.

180537840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 180537840 is about 13436.4370277243. The cubic root of 180537840 is about 565.1834212737.

The spelling of 180537840 in words is "one hundred eighty million, five hundred thirty-seven thousand, eight hundred forty".