564986880 has 352 divisors, whose sum is σ = 2071236480. Its totient is φ = 145981440.

The previous prime is 564986867. The next prime is 564986897. The reversal of 564986880 is 88689465.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8432607 + ... + 8432673.

Almost surely, 2^564986880 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 564986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035618240).

564986880 is an abundant number, since it is smaller than the sum of its proper divisors (1506249600).

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

564986880 is a wasteful number, since it uses less digits than its factorization.

564986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 564986880 is about 23769.4526651330. The cubic root of 564986880 is about 826.6965418733.

It can be divided in two parts, 5649 and 86880, that added together give a palindrome (92529).

The spelling of 564986880 in words is "five hundred sixty-four million, nine hundred eighty-six thousand, eight hundred eighty".