564161004 has 96 divisors (see below), whose sum is σ = 1600300800. Its totient is φ = 170455680.

The previous prime is 564160999. The next prime is 564161023. The reversal of 564161004 is 400161465.

564161004 is a `hidden beast` number, since 5 + 6 + 41 + 610 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 696952 + ... + 697760.

It is an arithmetic number, because the mean of its divisors is an integer number (16669800).

Almost surely, 2^564161004 is an apocalyptic number.

564161004 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564161004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800150400).

564161004 is an abundant number, since it is smaller than the sum of its proper divisors (1036139796).

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

564161004 is a wasteful number, since it uses less digits than its factorization.

564161004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 564161004 is about 23752.0736778918. The cubic root of 564161004 is about 826.2935344172.

The spelling of 564161004 in words is "five hundred sixty-four million, one hundred sixty-one thousand, four".