653997968 has 20 divisors (see below), whose sum is σ = 1364592348. Its totient is φ = 301845120.

The previous prime is 653997947. The next prime is 653997989. The reversal of 653997968 is 869799356.

It is an interprime number because it is at equal distance from previous prime (653997947) and next prime (653997989).

It can be written as a sum of positive squares in 2 ways, for example, as 311451904 + 342546064 = 17648^2 + 18508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 653997968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1571903 + ... + 1572318.

Almost surely, 2^653997968 is an apocalyptic number.

It is an amenable number.

653997968 is an abundant number, since it is smaller than the sum of its proper divisors (710594380).

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

653997968 is a wasteful number, since it uses less digits than its factorization.

653997968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144242 (or 3144236 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 62.

The square root of 653997968 is about 25573.3839763141. The cubic root of 653997968 is about 868.0114745735.

The spelling of 653997968 in words is "six hundred fifty-three million, nine hundred ninety-seven thousand, nine hundred sixty-eight".