563598672 has 160 divisors (see below), whose sum is σ = 1886545920. Its totient is φ = 140797440.

The previous prime is 563598649. The next prime is 563598677. The reversal of 563598672 is 276895365.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563598677) 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, 79597 + ... + 86387.

It is an arithmetic number, because the mean of its divisors is an integer number (11790912).

Almost surely, 2^563598672 is an apocalyptic number.

563598672 is a gapful number since it is divisible by the number (52) 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 563598672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943272960).

563598672 is an abundant number, since it is smaller than the sum of its proper divisors (1322947248).

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

563598672 is a wasteful number, since it uses less digits than its factorization.

563598672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841 (or 6835 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The square root of 563598672 is about 23740.2331917780. The cubic root of 563598672 is about 826.0189049174.

The spelling of 563598672 in words is "five hundred sixty-three million, five hundred ninety-eight thousand, six hundred seventy-two".