256650720 has 96 divisors (see below), whose sum is σ = 810819072. Its totient is φ = 68239872.

The previous prime is 256650707. The next prime is 256650733. The reversal of 256650720 is 27056652.

256650720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256650707) and next prime (256650733).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240909 + ... + 241971.

It is an arithmetic number, because the mean of its divisors is an integer number (8446032).

Almost surely, 2^256650720 is an apocalyptic number.

256650720 is a gapful number since it is divisible by the number (20) 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 256650720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405409536).

256650720 is an abundant number, since it is smaller than the sum of its proper divisors (554168352).

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

256650720 is a wasteful number, since it uses less digits than its factorization.

256650720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 256650720 is about 16020.3220941403. The cubic root of 256650720 is about 635.4979622630.

The spelling of 256650720 in words is "two hundred fifty-six million, six hundred fifty thousand, seven hundred twenty".