4134564 has 60 divisors (see below), whose sum is σ = 12359424. Its totient is φ = 1180656.

The previous prime is 4134551. The next prime is 4134569. The reversal of 4134564 is 4654314.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134569) 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, 1357 + ... + 3179.

Almost surely, 2^4134564 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 4134564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6179712).

4134564 is an abundant number, since it is smaller than the sum of its proper divisors (8224860).

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

4134564 is a wasteful number, since it uses less digits than its factorization.

4134564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1835 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 4134564 is about 2033.3627320279. The cubic root of 4134564 is about 160.5005677332.

Adding to 4134564 its reverse (4654314), we get a palindrome (8788878).

The spelling of 4134564 in words is "four million, one hundred thirty-four thousand, five hundred sixty-four".