827424 has 108 divisors (see below), whose sum is σ = 2697786. Its totient is φ = 239616.

The previous prime is 827423. The next prime is 827429. The reversal of 827424 is 424728.

It can be written as a sum of positive squares in 3 ways, for example, as 535824 + 291600 = 732^2 + 540^2 .

It is a plaindrome in base 14.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48664 + ... + 48680.

2⁸²⁷⁴²⁴ 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 827424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348893).

827424 is an abundant number, since it is smaller than the sum of its proper divisors (1870362).

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

827424 is a wasteful number, since it uses less digits than its factorization.

827424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 35 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 827424 is about 909.6284955959. The cubic root of 827424 is about 93.8806392050.

The spelling of 827424 in words is "eight hundred twenty-seven thousand, four hundred twenty-four".