62656 has 28 divisors (see below), whose sum is σ = 137160. Its totient is φ = 28160.

The previous prime is 62653. The next prime is 62659. The reversal of 62656 is 65626.

It is an interprime number because it is at equal distance from previous prime (62653) and next prime (62659).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 62656.

It is not an unprimeable number, because it can be changed into a prime (62653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 660 + ... + 748.

2⁶²⁶⁵⁶ 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 62656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68580).

62656 is an abundant number, since it is smaller than the sum of its proper divisors (74504).

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

62656 is a wasteful number, since it uses less digits than its factorization.

62656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 62656 is about 250.3118055546. The cubic root of 62656 is about 39.7180168082.

It can be divided in two parts, 6 and 2656, that added together give a palindrome (2662).

The spelling of 62656 in words is "sixty-two thousand, six hundred fifty-six".