252068180 has 96 divisors (see below), whose sum is σ = 689907456. Its totient is φ = 75073536.

The previous prime is 252068153. The next prime is 252068189. The reversal of 252068180 is 81860252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252068189) 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 31 ways as a sum of consecutive naturals, for example, 26867 + ... + 35013.

It is an arithmetic number, because the mean of its divisors is an integer number (7186536).

Almost surely, 2^252068180 is an apocalyptic number.

252068180 is a gapful number since it is divisible by the number (20) 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 252068180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344953728).

252068180 is an abundant number, since it is smaller than the sum of its proper divisors (437839276).

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

252068180 is a wasteful number, since it uses less digits than its factorization.

252068180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8193 (or 8191 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 252068180 is about 15876.6551893023. The cubic root of 252068180 is about 631.6929188351.

The spelling of 252068180 in words is "two hundred fifty-two million, sixty-eight thousand, one hundred eighty".