1030567968 has 192 divisors, whose sum is σ = 3140121600. Its totient is φ = 328458240.

The previous prime is 1030567957. The next prime is 1030567973. The reversal of 1030567968 is 8697650301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2919280 + ... + 2919632.

It is an arithmetic number, because the mean of its divisors is an integer number (16354800).

Almost surely, 2^1030567968 is an apocalyptic number.

1030567968 is a gapful number since it is divisible by the number (18) 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 1030567968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570060800).

1030567968 is an abundant number, since it is smaller than the sum of its proper divisors (2109553632).

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

1030567968 is a wasteful number, since it uses less digits than its factorization.

1030567968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1030567968 is about 32102.4604664502. The cubic root of 1030567968 is about 1010.0872283582.

The spelling of 1030567968 in words is "one billion, thirty million, five hundred sixty-seven thousand, nine hundred sixty-eight".