4876564 has 48 divisors (see below), whose sum is σ = 10838016. Its totient is φ = 1864800.

The previous prime is 4876513. The next prime is 4876607. The reversal of 4876564 is 4656784.

It is a d-powerful number, because it can be written as 4⁶ + 8⁷ + 7³ + 6⁶ + 5³ + 6⁸ + 4¹⁰ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21757 + ... + 21979.

It is an arithmetic number, because the mean of its divisors is an integer number (225792).

Almost surely, 2^4876564 is an apocalyptic number.

4876564 is a gapful number since it is divisible by the number (44) 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 4876564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419008).

4876564 is an abundant number, since it is smaller than the sum of its proper divisors (5961452).

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

4876564 is a wasteful number, since it uses less digits than its factorization.

4876564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 314 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 4876564 is about 2208.2943644360. The cubic root of 4876564 is about 169.5787030485.

The spelling of 4876564 in words is "four million, eight hundred seventy-six thousand, five hundred sixty-four".