4615164 has 48 divisors (see below), whose sum is σ = 12087040. Its totient is φ = 1522800.

The previous prime is 4615153. The next prime is 4615183.

4615164 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16167 + ... + 16449.

Almost surely, 2^4615164 is an apocalyptic number.

4615164 is the 1359-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4615164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043520).

4615164 is an abundant number, since it is smaller than the sum of its proper divisors (7471876).

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

4615164 is a wasteful number, since it uses less digits than its factorization.

4615164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4615164 is about 2148.2932760682. The cubic root of 4615164 is about 166.4928980008.

It can be divided in two parts, 461 and 5164, that added together give a square (5625 = 75²).

The spelling of 4615164 in words is "four million, six hundred fifteen thousand, one hundred sixty-four".