180252288 has 96 divisors (see below), whose sum is σ = 541326240. Its totient is φ = 57463296.

The previous prime is 180252283. The next prime is 180252299. The reversal of 180252288 is 882252081.

It is a happy number.

180252288 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 (180252283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23095 + ... + 29897.

It is an arithmetic number, because the mean of its divisors is an integer number (5638815).

Almost surely, 2^180252288 is an apocalyptic number.

180252288 is a gapful number since it is divisible by the number (18) 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 180252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270663120).

180252288 is an abundant number, since it is smaller than the sum of its proper divisors (361073952).

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

180252288 is a wasteful number, since it uses less digits than its factorization.

180252288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6846 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 180252288 is about 13425.8067913999. The cubic root of 180252288 is about 564.8852854009.

The spelling of 180252288 in words is "one hundred eighty million, two hundred fifty-two thousand, two hundred eighty-eight".