123582256 has 40 divisors (see below), whose sum is σ = 275768064. Its totient is φ = 52553280.

The previous prime is 123582247. The next prime is 123582271. The reversal of 123582256 is 652285321.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10461 + ... + 18883.

Almost surely, 2^123582256 is an apocalyptic number.

123582256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123582256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137884032).

123582256 is an abundant number, since it is smaller than the sum of its proper divisors (152185808).

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

123582256 is a wasteful number, since it uses less digits than its factorization.

123582256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8569 (or 8563 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 123582256 is about 11116.7556418228. The cubic root of 123582256 is about 498.1024826319.

The spelling of 123582256 in words is "one hundred twenty-three million, five hundred eighty-two thousand, two hundred fifty-six".