4935564 has 36 divisors (see below), whose sum is σ = 12745824. Its totient is φ = 1609632.

The previous prime is 4935563. The next prime is 4935569. The reversal of 4935564 is 4655394.

It is a happy number.

4935564 is a `hidden beast` number, since 4 + 93 + 5 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 4⁵ + 9 + 3¹⁴ + 5³ + 5⁷ + 6⁵ + 4⁸ .

It is not an unprimeable number, because it can be changed into a prime (4935563) 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, 234 + ... + 3150.

Almost surely, 2^4935564 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 4935564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6372912).

4935564 is an abundant number, since it is smaller than the sum of its proper divisors (7810260).

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

4935564 is a wasteful number, since it uses less digits than its factorization.

4935564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2969 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 4935564 is about 2221.6129275821. The cubic root of 4935564 is about 170.2598563384.

The spelling of 4935564 in words is "four million, nine hundred thirty-five thousand, five hundred sixty-four".