256141760 has 112 divisors (see below), whose sum is σ = 714329280. Its totient is φ = 85647360.

The previous prime is 256141727. The next prime is 256141763. The reversal of 256141760 is 67141652.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256141763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90446 + ... + 93234.

It is an arithmetic number, because the mean of its divisors is an integer number (6377940).

Almost surely, 2^256141760 is an apocalyptic number.

256141760 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 256141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357164640).

256141760 is an abundant number, since it is smaller than the sum of its proper divisors (458187520).

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

256141760 is a wasteful number, since it uses less digits than its factorization.

256141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 256141760 is about 16004.4293868916. The cubic root of 256141760 is about 635.0776022712.

The spelling of 256141760 in words is "two hundred fifty-six million, one hundred forty-one thousand, seven hundred sixty".