563321088 has 288 divisors, whose sum is σ = 1883750400. Its totient is φ = 164505600.

The previous prime is 563321021. The next prime is 563321089. The reversal of 563321088 is 880123365.

563321088 is a `hidden beast` number, since 5 + 633 + 2 + 10 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (563321089) 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, 2356873 + ... + 2357111.

It is an arithmetic number, because the mean of its divisors is an integer number (6540800).

Almost surely, 2^563321088 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 563321088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941875200).

563321088 is an abundant number, since it is smaller than the sum of its proper divisors (1320429312).

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

563321088 is a wasteful number, since it uses less digits than its factorization.

563321088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 563321088 is about 23734.3861938749. The cubic root of 563321088 is about 825.8832721840.

The spelling of 563321088 in words is "five hundred sixty-three million, three hundred twenty-one thousand, eighty-eight".