563761040 has 60 divisors (see below), whose sum is σ = 1354575132. Its totient is φ = 218200320.

The previous prime is 563761039. The next prime is 563761057. The reversal of 563761040 is 40167365.

It can be written as a sum of positive squares in 2 ways, for example, as 71098624 + 492662416 = 8432^2 + 22196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 563760988 and 563761006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73214 + ... + 80546.

Almost surely, 2^563761040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677287566).

563761040 is an abundant number, since it is smaller than the sum of its proper divisors (790814092).

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

563761040 is a wasteful number, since it uses less digits than its factorization.

563761040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7408 (or 7371 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 563761040 is about 23743.6526254913. The cubic root of 563761040 is about 826.0982203161.

The spelling of 563761040 in words is "five hundred sixty-three million, seven hundred sixty-one thousand, forty".