4761564 has 36 divisors (see below), whose sum is σ = 11810904. Its totient is φ = 1492736.

The previous prime is 4761563. The next prime is 4761583. The reversal of 4761564 is 4651674.

4761564 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4761563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2782 + ... + 4154.

Almost surely, 2^4761564 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 4761564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905452).

4761564 is an abundant number, since it is smaller than the sum of its proper divisors (7049340).

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

4761564 is a wasteful number, since it uses less digits than its factorization.

4761564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1395 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 4761564 is about 2182.1008226019. The cubic root of 4761564 is about 168.2350734153.

The spelling of 4761564 in words is "four million, seven hundred sixty-one thousand, five hundred sixty-four".