827988 has 24 divisors (see below), whose sum is σ = 2208192. Its totient is φ = 236544.

The previous prime is 827987. The next prime is 827989. The reversal of 827988 is 889728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (827987) and next prime (827989).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 827988.

It is not an unprimeable number, because it can be changed into a prime (827987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4845 + ... + 5012.

It is an arithmetic number, because the mean of its divisors is an integer number (92008).

2⁸²⁷⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

827988 is an abundant number, since it is smaller than the sum of its proper divisors (1380204).

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

827988 is a wasteful number, since it uses less digits than its factorization.

827988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9871 (or 9869 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 827988 is about 909.9384594576. The cubic root of 827988 is about 93.9019650930.

The spelling of 827988 in words is "eight hundred twenty-seven thousand, nine hundred eighty-eight".