564176340 has 480 divisors, whose sum is σ = 2253968640. Its totient is φ = 114960384.

The previous prime is 564176309. The next prime is 564176357. The reversal of 564176340 is 43671465.

It is a happy number.

564176340 is a `hidden beast` number, since 5 + 6 + 4 + 17 + 634 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 564176295 and 564176304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6339016 + ... + 6339104.

It is an arithmetic number, because the mean of its divisors is an integer number (4695768).

Almost surely, 2^564176340 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 564176340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126984320).

564176340 is an abundant number, since it is smaller than the sum of its proper divisors (1689792300).

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

564176340 is a wasteful number, since it uses less digits than its factorization.

564176340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 564176340 is about 23752.3965106681. The cubic root of 564176340 is about 826.3010215960.

The spelling of 564176340 in words is "five hundred sixty-four million, one hundred seventy-six thousand, three hundred forty".