4776564 has 48 divisors (see below), whose sum is σ = 12208448. Its totient is φ = 1444608.

The previous prime is 4776539. The next prime is 4776599. The reversal of 4776564 is 4656774.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 10224 + ... + 10680.

Almost surely, 2^4776564 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 4776564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6104224).

4776564 is an abundant number, since it is smaller than the sum of its proper divisors (7431884).

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

4776564 is a wasteful number, since it uses less digits than its factorization.

4776564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 542 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 4776564 is about 2185.5351747341. The cubic root of 4776564 is about 168.4115477024.

The spelling of 4776564 in words is "four million, seven hundred seventy-six thousand, five hundred sixty-four".