1256961960 has 384 divisors, whose sum is σ = 4528742400. Its totient is φ = 301340160.

The previous prime is 1256961931. The next prime is 1256961971. The reversal of 1256961960 is 691696521.

It is a happy number.

1256961960 is a `hidden beast` number, since 1 + 25 + 6 + 9 + 619 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15144079 + ... + 15144161.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^1256961960 is an apocalyptic number.

1256961960 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 1256961960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1256961960 is an abundant number, since it is smaller than the sum of its proper divisors (3271780440).

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

1256961960 is a wasteful number, since it uses less digits than its factorization.

1256961960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1256961960 is about 35453.6593315838. The cubic root of 1256961960 is about 1079.2135220600.

It can be divided in two parts, 12569 and 61960, that added together give a square (74529 = 273²).

The spelling of 1256961960 in words is "one billion, two hundred fifty-six million, nine hundred sixty-one thousand, nine hundred sixty".