4164264 has 64 divisors (see below), whose sum is σ = 12465600. Its totient is φ = 1280448.

The previous prime is 4164253. The next prime is 4164271. The reversal of 4164264 is 4624614.

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

It is a nude number because it is divisible by every one of its digits.

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, 2067 + ... + 3549.

It is an arithmetic number, because the mean of its divisors is an integer number (194775).

Almost surely, 2^4164264 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 4164264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6232800).

4164264 is an abundant number, since it is smaller than the sum of its proper divisors (8301336).

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

4164264 is a wasteful number, since it uses less digits than its factorization.

4164264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1501 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4164264 is about 2040.6528367167. The cubic root of 4164264 is about 160.8839614984.

Adding to 4164264 its reverse (4624614), we get a palindrome (8788878).

The spelling of 4164264 in words is "four million, one hundred sixty-four thousand, two hundred sixty-four".