663876 has 36 divisors (see below), whose sum is σ = 1742832. Its totient is φ = 220968.

The previous prime is 663869. The next prime is 663881. The reversal of 663876 is 678366.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 663876.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 663876.

It is an unprimeable number.

663876 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 11 ways as a sum of consecutive naturals, for example, 631 + ... + 1313.

It is an arithmetic number, because the mean of its divisors is an integer number (48412).

2⁶⁶³⁸⁷⁶ 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 663876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871416).

663876 is an abundant number, since it is smaller than the sum of its proper divisors (1078956).

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

663876 is a wasteful number, since it uses less digits than its factorization.

663876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 688 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 663876 is about 814.7858614385. The cubic root of 663876 is about 87.2359824006.

The spelling of 663876 in words is "six hundred sixty-three thousand, eight hundred seventy-six".