1256690160 has 320 divisors, whose sum is σ = 4763266560. Its totient is φ = 302008320.

The previous prime is 1256690129. The next prime is 1256690161. The reversal of 1256690160 is 610966521.

1256690160 is a `hidden beast` number, since 1 + 2 + 566 + 90 + 1 + 6 + 0 = 666.

1256690160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256690161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5393404 + ... + 5393636.

It is an arithmetic number, because the mean of its divisors is an integer number (14885208).

Almost surely, 2^1256690160 is an apocalyptic number.

1256690160 is a gapful number since it is divisible by the number (10) 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 1256690160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381633280).

1256690160 is an abundant number, since it is smaller than the sum of its proper divisors (3506576400).

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

1256690160 is a wasteful number, since it uses less digits than its factorization.

1256690160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1256690160 is about 35449.8259516179. The cubic root of 1256690160 is about 1079.1357283028.

The spelling of 1256690160 in words is "one billion, two hundred fifty-six million, six hundred ninety thousand, one hundred sixty".