827540 has 48 divisors (see below), whose sum is σ = 2080512. Its totient is φ = 270336.

The previous prime is 827539. The next prime is 827549. The reversal of 827540 is 45728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827549) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3092 + ... + 3348.

It is an arithmetic number, because the mean of its divisors is an integer number (43344).

2⁸²⁷⁵⁴⁰ 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 827540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040256).

827540 is an abundant number, since it is smaller than the sum of its proper divisors (1252972).

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

827540 is a wasteful number, since it uses less digits than its factorization.

827540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 827540 is about 909.6922556557. The cubic root of 827540 is about 93.8850261720.

The spelling of 827540 in words is "eight hundred twenty-seven thousand, five hundred forty".