663366 has 48 divisors (see below), whose sum is σ = 1592640. Its totient is φ = 182160.

The previous prime is 663359. The next prime is 663371.

663366 is nontrivially palindromic in base 10.

663366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (11664) is a multiple of the sum of its prime factors (81).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28831 + ... + 28853.

It is an arithmetic number, because the mean of its divisors is an integer number (33180).

2⁶⁶³³⁶⁶ is an apocalyptic number.

663366 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 663366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796320).

663366 is an abundant number, since it is smaller than the sum of its proper divisors (929274).

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

663366 is a wasteful number, since it uses less digits than its factorization.

663366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 663366 is about 814.4728356428. The cubic root of 663366 is about 87.2136379926.

The spelling of 663366 in words is "six hundred sixty-three thousand, three hundred sixty-six".