252627840 has 192 divisors, whose sum is σ = 887889600. Its totient is φ = 66170880.

The previous prime is 252627829. The next prime is 252627899. The reversal of 252627840 is 48726252.

252627840 is a `hidden beast` number, since 25 + 2 + 627 + 8 + 4 + 0 = 666.

252627840 is digitally balanced in base 3, because in such base 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 (192).

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 = 252627795 and 252627804.

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 23 ways as a sum of consecutive naturals, for example, 351001 + ... + 351719.

It is an arithmetic number, because the mean of its divisors is an integer number (4624425).

Almost surely, 2^252627840 is an apocalyptic number.

252627840 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 252627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443944800).

252627840 is an abundant number, since it is smaller than the sum of its proper divisors (635261760).

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

252627840 is a wasteful number, since it uses less digits than its factorization.

252627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 252627840 is about 15894.2706658720. The cubic root of 252627840 is about 632.1600833598.

The spelling of 252627840 in words is "two hundred fifty-two million, six hundred twenty-seven thousand, eight hundred forty".