863616 has 64 divisors (see below), whose sum is σ = 2484720. Its totient is φ = 264192.

The previous prime is 863609. The next prime is 863633. The reversal of 863616 is 616368.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4906 + ... + 5078.

2⁸⁶³⁶¹⁶ 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 863616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242360).

863616 is an abundant number, since it is smaller than the sum of its proper divisors (1621104).

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

863616 is a wasteful number, since it uses less digits than its factorization.

863616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 863616 is about 929.3094210219. The cubic root of 863616 is about 95.2299507956.

The spelling of 863616 in words is "eight hundred sixty-three thousand, six hundred sixteen".