827652 has 48 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 231072.

The previous prime is 827639. The next prime is 827677. The reversal of 827652 is 256728.

It is a d-powerful number, because it can be written as 8³ + 2⁷ + 6³ + 7⁷ + 5⁵ + 2⁷ .

Its product of digits (6720) is a multiple of the sum of its prime factors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4873 + ... + 5039.

It is an arithmetic number, because the mean of its divisors is an integer number (47040).

2⁸²⁷⁶⁵² 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 827652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960).

827652 is an abundant number, since it is smaller than the sum of its proper divisors (1430268).

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

827652 is a wasteful number, since it uses less digits than its factorization.

827652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 827652 is about 909.7538128527. The cubic root of 827652 is about 93.8892614753.

The spelling of 827652 in words is "eight hundred twenty-seven thousand, six hundred fifty-two".