1024072968 has 32 divisors (see below), whose sum is σ = 2585044800. Its totient is φ = 338042688.

The previous prime is 1024072967. The next prime is 1024072991. The reversal of 1024072968 is 8692704201.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1024072961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204663 + ... + 209606.

It is an arithmetic number, because the mean of its divisors is an integer number (80782650).

Almost surely, 2^1024072968 is an apocalyptic number.

It is an amenable number.

1024072968 is an abundant number, since it is smaller than the sum of its proper divisors (1560971832).

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

1024072968 is a wasteful number, since it uses less digits than its factorization.

1024072968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414381 (or 414377 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1024072968 is about 32001.1401046900. The cubic root of 1024072968 is about 1007.9607804720.

The spelling of 1024072968 in words is "one billion, twenty-four million, seventy-two thousand, nine hundred sixty-eight".