827268144 has 160 divisors (see below), whose sum is σ = 2333422080. Its totient is φ = 251596800.

The previous prime is 827268137. The next prime is 827268157. The reversal of 827268144 is 441862728.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 827268096 and 827268105.

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 31 ways as a sum of consecutive naturals, for example, 6314959 + ... + 6315089.

It is an arithmetic number, because the mean of its divisors is an integer number (14583888).

Almost surely, 2^827268144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827268144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166711040).

827268144 is an abundant number, since it is smaller than the sum of its proper divisors (1506153936).

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

827268144 is a wasteful number, since it uses less digits than its factorization.

827268144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 827268144 is about 28762.2694514880. The cubic root of 827268144 is about 938.7474429113.

The spelling of 827268144 in words is "eight hundred twenty-seven million, two hundred sixty-eight thousand, one hundred forty-four".