180554040 has 96 divisors (see below), whose sum is σ = 597935520. Its totient is φ = 47234304.

The previous prime is 180553993. The next prime is 180554041. The reversal of 180554040 is 40455081.

180554040 is a `hidden beast` number, since 1 + 80 + 5 + 540 + 40 = 666.

It is a super-2 number, since 2×180554040² = 65199522720643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 180553995 and 180554013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180554041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14349 + ... + 23811.

It is an arithmetic number, because the mean of its divisors is an integer number (6228495).

Almost surely, 2^180554040 is an apocalyptic number.

180554040 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 180554040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298967760).

180554040 is an abundant number, since it is smaller than the sum of its proper divisors (417381480).

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

180554040 is a wasteful number, since it uses less digits than its factorization.

180554040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 180554040 is about 13437.0398525866. The cubic root of 180554040 is about 565.2003257587.

The spelling of 180554040 in words is "one hundred eighty million, five hundred fifty-four thousand, forty".