61256 has 32 divisors (see below), whose sum is σ = 134400. Its totient is φ = 25920.

The previous prime is 61253. The next prime is 61261. The reversal of 61256 is 65216.

61256 = 19² + 20² + ... + 57².

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (61253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1961 + ... + 1991.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁶¹²⁵⁶ is an apocalyptic number.

It is a pronic number, being equal to 247×248.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67200).

61256 is an abundant number, since it is smaller than the sum of its proper divisors (73144).

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

61256 is a wasteful number, since it uses less digits than its factorization.

61256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 65 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 61256 is about 247.4994949490. The cubic root of 61256 is about 39.4199629139.

Adding to 61256 its product of digits (360), we get a palindrome (61616).

The spelling of 61256 in words is "sixty-one thousand, two hundred fifty-six".