63816 has 16 divisors (see below), whose sum is σ = 159600. Its totient is φ = 21264.

The previous prime is 63809. The next prime is 63823. The reversal of 63816 is 61836.

63816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63809) and next prime (63823).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2659 = 63816 / (6 + 3 + 8 + 1 + 6).

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1306 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (9975).

2⁶³⁸¹⁶ is an apocalyptic number.

It is an amenable number.

63816 is an abundant number, since it is smaller than the sum of its proper divisors (95784).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79800).

63816 is a wasteful number, since it uses less digits than its factorization.

63816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2664 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 63816 is about 252.6182891241. The cubic root of 63816 is about 39.9616298718.

The spelling of 63816 in words is "sixty-three thousand, eight hundred sixteen".