820632 has 32 divisors (see below), whose sum is σ = 2119680. Its totient is φ = 264480.

The previous prime is 820627. The next prime is 820637. The reversal of 820632 is 236028.

It is an interprime number because it is at equal distance from previous prime (820627) and next prime (820637).

It is a junction number, because it is equal to n+sod(n) for n = 820599 and 820608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820637) by changing a digit.

820632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (66240).

2⁸²⁰⁶³² 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 820632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059840).

820632 is an abundant number, since it is smaller than the sum of its proper divisors (1299048).

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

820632 is a wasteful number, since it uses less digits than its factorization.

820632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 820632 is about 905.8874102227. The cubic root of 820632 is about 93.6230566328.

The spelling of 820632 in words is "eight hundred twenty thousand, six hundred thirty-two".