564112890 has 192 divisors, whose sum is σ = 1709890560. Its totient is φ = 132105600.

The previous prime is 564112889. The next prime is 564112919. The reversal of 564112890 is 98211465.

564112890 is a `hidden beast` number, since 5 + 641 + 1 + 2 + 8 + 9 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1012492 + ... + 1013048.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2^564112890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564112890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854945280).

564112890 is an abundant number, since it is smaller than the sum of its proper divisors (1145777670).

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

564112890 is a wasteful number, since it uses less digits than its factorization.

564112890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 564112890 is about 23751.0608184140. The cubic root of 564112890 is about 826.2700438315.

The spelling of 564112890 in words is "five hundred sixty-four million, one hundred twelve thousand, eight hundred ninety".