256632 has 48 divisors (see below), whose sum is σ = 699960. Its totient is φ = 78336.

The previous prime is 256609. The next prime is 256639. The reversal of 256632 is 236652.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2¹⁴ + 5² + 6² + 6⁶ + 3¹¹ + 2¹⁴ .

Its product of digits (2160) is a multiple of the sum of its prime factors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6918 + ... + 6954.

2²⁵⁶⁶³² 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 256632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349980).

256632 is an abundant number, since it is smaller than the sum of its proper divisors (443328).

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

256632 is a wasteful number, since it uses less digits than its factorization.

256632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 256632 is about 506.5885904755. The cubic root of 256632 is about 63.5482510899.

It can be divided in two parts, 256 and 632, that added together give a palindrome (888).

The spelling of 256632 in words is "two hundred fifty-six thousand, six hundred thirty-two".