1009958568 has 64 divisors (see below), whose sum is σ = 2559164160. Its totient is φ = 332107776.

The previous prime is 1009958563. The next prime is 1009958581. The reversal of 1009958568 is 8658599001.

It is a super-2 number, since 2×1009958568² = 2040032618153221248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1009958568.

It is not an unprimeable number, because it can be changed into a prime (1009958563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077396 + ... + 1078332.

It is an arithmetic number, because the mean of its divisors is an integer number (39986940).

Almost surely, 2^1009958568 is an apocalyptic number.

It is an amenable number.

1009958568 is an abundant number, since it is smaller than the sum of its proper divisors (1549205592).

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

1009958568 is a wasteful number, since it uses less digits than its factorization.

1009958568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The square root of 1009958568 is about 31779.8453111402. The cubic root of 1009958568 is about 1003.3085639984.

The spelling of 1009958568 in words is "one billion, nine million, nine hundred fifty-eight thousand, five hundred sixty-eight".