4967604 has 36 divisors (see below), whose sum is σ = 13297284. Its totient is φ = 1558272.

The previous prime is 4967579. The next prime is 4967617. The reversal of 4967604 is 4067694.

4967604 is a `hidden beast` number, since 49 + 6 + 7 + 604 = 666.

4967604 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 756900 = 2052^2 + 870^2 .

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3447 + ... + 4670.

It is an arithmetic number, because the mean of its divisors is an integer number (369369).

Almost surely, 2^4967604 is an apocalyptic number.

It is an amenable number.

4967604 is an abundant number, since it is smaller than the sum of its proper divisors (8329680).

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

4967604 is a wasteful number, since it uses less digits than its factorization.

4967604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8144 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4967604 is about 2228.8122397367. The cubic root of 4967604 is about 170.6274849696.

It can be divided in two parts, 496 and 7604, that added together give a square (8100 = 90²).

The spelling of 4967604 in words is "four million, nine hundred sixty-seven thousand, six hundred four".