827632 has 40 divisors (see below), whose sum is σ = 1812384. Its totient is φ = 363264.

The previous prime is 827599. The next prime is 827633. The reversal of 827632 is 236728.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 8 + 2⁵ + 6⁷ + 7⁵ + 3⁸ + 2¹⁹ .

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 827632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4698 + ... + 4870.

2⁸²⁷⁶³² 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 827632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906192).

827632 is an abundant number, since it is smaller than the sum of its proper divisors (984752).

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

827632 is a wasteful number, since it uses less digits than its factorization.

827632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 827632 is about 909.7428208016. The cubic root of 827632 is about 93.8885051991. Note that the first 3 decimals are identical.

The spelling of 827632 in words is "eight hundred twenty-seven thousand, six hundred thirty-two".