823616 has 28 divisors (see below), whose sum is σ = 1732788. Its totient is φ = 387072.

The previous prime is 823601. The next prime is 823619. The reversal of 823616 is 616328.

It can be written as a sum of positive squares in 2 ways, for example, as 577600 + 246016 = 760^2 + 496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823619) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 710 + ... + 1466.

2⁸²³⁶¹⁶ 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 823616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866394).

823616 is an abundant number, since it is smaller than the sum of its proper divisors (909172).

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

823616 is a wasteful number, since it uses less digits than its factorization.

823616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 776 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 823616 is about 907.5329195131. The cubic root of 823616 is about 93.7363974339.

The spelling of 823616 in words is "eight hundred twenty-three thousand, six hundred sixteen".