1961256 has 128 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 506880.

The previous prime is 1961251. The next prime is 1961257. The reversal of 1961256 is 6521691.

1961256 is a nontrivial binomial coefficient, being equal to C(24, 10).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 1 + 9 + 6³ + 1 + 2⁷ + 5⁹ + 6⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85261 + ... + 85283.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2^1961256 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 1961256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

1961256 is an abundant number, since it is smaller than the sum of its proper divisors (4259544).

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

1961256 is a wasteful number, since it uses less digits than its factorization.

1961256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 75 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 1961256 is about 1400.4484995886. The cubic root of 1961256 is about 125.1732211778.

The spelling of 1961256 in words is "one million, nine hundred sixty-one thousand, two hundred fifty-six".