1282570968 has 128 divisors (see below), whose sum is σ = 3774873600. Its totient is φ = 355549824.

The previous prime is 1282570963. The next prime is 1282570987. The reversal of 1282570968 is 8690752821.

1282570968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 35813²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282570963) 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, 1002153 + ... + 1003431.

It is an arithmetic number, because the mean of its divisors is an integer number (29491200).

Almost surely, 2^1282570968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1282570968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887436800).

1282570968 is an abundant number, since it is smaller than the sum of its proper divisors (2492302632).

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

1282570968 is a wasteful number, since it uses less digits than its factorization.

1282570968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 1282570968 is about 35812.9999860386. Note that the first 4 decimals coincide. The cubic root of 1282570968 is about 1086.4935063933.

The spelling of 1282570968 in words is "one billion, two hundred eighty-two million, five hundred seventy thousand, nine hundred sixty-eight".