827640 has 144 divisors (see below), whose sum is σ = 3112200. Its totient is φ = 190080.

The previous prime is 827639. The next prime is 827677. The reversal of 827640 is 46728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43551 + ... + 43569.

2⁸²⁷⁶⁴⁰ 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 827640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556100).

827640 is an abundant number, since it is smaller than the sum of its proper divisors (2284560).

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

827640 is a wasteful number, since it uses less digits than its factorization.

827640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 827640 is about 909.7472176380. The cubic root of 827640 is about 93.8888077110. Note that the first 4 decimals are identical.

The spelling of 827640 in words is "eight hundred twenty-seven thousand, six hundred forty".