827496 has 40 divisors (see below), whose sum is σ = 2319570. Its totient is φ = 275616.

The previous prime is 827473. The next prime is 827501. The reversal of 827496 is 694728.

It can be written as a sum of positive squares in only one way, i.e., 656100 + 171396 = 810^2 + 414^2 .

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

It is a d-powerful number, because it can be written as 8³ + 2¹¹ + 4² + 7⁷ + 9² + 6⁴ .

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 827496.

It is an unprimeable number.

827496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10 + ... + 1286.

2⁸²⁷⁴⁹⁶ 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 827496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159785).

827496 is an abundant number, since it is smaller than the sum of its proper divisors (1492074).

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

827496 is a wasteful number, since it uses less digits than its factorization.

827496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1282 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 827496 is about 909.6680713315. The cubic root of 827496 is about 93.8833621983.

The spelling of 827496 in words is "eight hundred twenty-seven thousand, four hundred ninety-six".