663156 has 54 divisors (see below), whose sum is σ = 1831830. Its totient is φ = 202176.

The previous prime is 663149. The next prime is 663161. The reversal of 663156 is 651366.

663156 = T₁₃₃ + T₁₃₄ + ... + T₁₈₄.

663156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 656100 = 84^2 + 810^2 .

It is a congruent number.

It is an unprimeable number.

663156 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 17 ways as a sum of consecutive naturals, for example, 6030 + ... + 6138.

2⁶⁶³¹⁵⁶ 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 663156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915915).

663156 is an abundant number, since it is smaller than the sum of its proper divisors (1168674).

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

663156 is a wasteful number, since it uses less digits than its factorization.

663156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 663156 is about 814.3439076950. The cubic root of 663156 is about 87.2044340253.

The spelling of 663156 in words is "six hundred sixty-three thousand, one hundred fifty-six".