827388 has 48 divisors (see below), whose sum is σ = 2204160. Its totient is φ = 268272.

The previous prime is 827369. The next prime is 827389. The reversal of 827388 is 883728.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827388.

It is not an unprimeable number, because it can be changed into a prime (827389) by changing a digit.

827388 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4995 + ... + 5157.

It is an arithmetic number, because the mean of its divisors is an integer number (45920).

2⁸²⁷³⁸⁸ 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 827388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102080).

827388 is an abundant number, since it is smaller than the sum of its proper divisors (1376772).

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

827388 is a wasteful number, since it uses less digits than its factorization.

827388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 827388 is about 909.6087070823. The cubic root of 827388 is about 93.8792776491.

The spelling of 827388 in words is "eight hundred twenty-seven thousand, three hundred eighty-eight".