1256830960 has 160 divisors (see below), whose sum is σ = 3659622912. Its totient is φ = 389975040.

The previous prime is 1256830951. The next prime is 1256830963. The reversal of 1256830960 is 690386521.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256830963) 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, 2297407 + ... + 2297953.

Almost surely, 2^1256830960 is an apocalyptic number.

1256830960 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 1256830960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829811456).

1256830960 is an abundant number, since it is smaller than the sum of its proper divisors (2402791952).

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

1256830960 is a wasteful number, since it uses less digits than its factorization.

1256830960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 1256830960 is about 35451.8118013734. The cubic root of 1256830960 is about 1079.1760290444.

The spelling of 1256830960 in words is "one billion, two hundred fifty-six million, eight hundred thirty thousand, nine hundred sixty".