180564552 has 112 divisors (see below), whose sum is σ = 580251840. Its totient is φ = 51578208.

The previous prime is 180564547. The next prime is 180564557. The reversal of 180564552 is 255465081.

180564552 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 645 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (180564547) and next prime (180564557).

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

It is not an unprimeable number, because it can be changed into a prime (180564557) 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 27 ways as a sum of consecutive naturals, for example, 38613 + ... + 43035.

It is an arithmetic number, because the mean of its divisors is an integer number (5180820).

Almost surely, 2^180564552 is an apocalyptic number.

180564552 is a gapful number since it is divisible by the number (12) 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 180564552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290125920).

180564552 is an abundant number, since it is smaller than the sum of its proper divisors (399687288).

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

180564552 is an equidigital number, since it uses as much as digits as its factorization.

180564552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 180564552 is about 13437.4310044740. The cubic root of 180564552 is about 565.2112943501.

The spelling of 180564552 in words is "one hundred eighty million, five hundred sixty-four thousand, five hundred fifty-two".