869616 has 100 divisors (see below), whose sum is σ = 2790744. Its totient is φ = 259200.

The previous prime is 869599. The next prime is 869657. The reversal of 869616 is 616968.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 869616.

It is an unprimeable number.

869616 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 19 ways as a sum of consecutive naturals, for example, 14226 + ... + 14286.

2⁸⁶⁹⁶¹⁶ 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 869616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395372).

869616 is an abundant number, since it is smaller than the sum of its proper divisors (1921128).

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

869616 is a wasteful number, since it uses less digits than its factorization.

869616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 869616 is about 932.5320369832. The cubic root of 869616 is about 95.4499797445.

It can be divided in two parts, 869 and 616, that added together give a triangular number (1485 = T₅₄).

The spelling of 869616 in words is "eight hundred sixty-nine thousand, six hundred sixteen".