256106748 has 96 divisors (see below), whose sum is σ = 661893120. Its totient is φ = 76792320.

The previous prime is 256106723. The next prime is 256106749. The reversal of 256106748 is 847601652.

It is a super-2 number, since 2×256106748² = 131181332742271008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256106749) 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, 316168 + ... + 316976.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2^256106748 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 256106748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

256106748 is an abundant number, since it is smaller than the sum of its proper divisors (405786372).

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

256106748 is a wasteful number, since it uses less digits than its factorization.

256106748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 256106748 is about 16003.3355273205. The cubic root of 256106748 is about 635.0486647144.

The spelling of 256106748 in words is "two hundred fifty-six million, one hundred six thousand, seven hundred forty-eight".