4616164 has 24 divisors (see below), whose sum is σ = 9719360. Its totient is φ = 1874016.

The previous prime is 4616153. The next prime is 4616167.

4616164 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4616167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3807 + ... + 4870.

Almost surely, 2^4616164 is an apocalyptic number.

It is an amenable number.

4616164 is an abundant number, since it is smaller than the sum of its proper divisors (5103196).

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

4616164 is a wasteful number, since it uses less digits than its factorization.

4616164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8707 (or 8705 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 4616164 is about 2148.5260063588. The cubic root of 4616164 is about 166.5049221942.

It can be divided in two parts, 46161 and 64, that added together give a square (46225 = 215²).

The spelling of 4616164 in words is "four million, six hundred sixteen thousand, one hundred sixty-four".