4863564 has 60 divisors (see below), whose sum is σ = 13477464. Its totient is φ = 1524096.

The previous prime is 4863553. The next prime is 4863569. The reversal of 4863564 is 4653684.

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

It is a d-powerful number, because it can be written as 4² + 8⁵ + 6 + 3¹⁴ + 5³ + 6⁶ + 4⁵ .

It is not an unprimeable number, because it can be changed into a prime (4863569) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5067 + ... + 5949.

Almost surely, 2^4863564 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 4863564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738732).

4863564 is an abundant number, since it is smaller than the sum of its proper divisors (8613900).

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

4863564 is a wasteful number, since it uses less digits than its factorization.

4863564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 905 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4863564 is about 2205.3489519802. The cubic root of 4863564 is about 169.4278806666.

The spelling of 4863564 in words is "four million, eight hundred sixty-three thousand, five hundred sixty-four".