4642164 has 48 divisors (see below), whose sum is σ = 12277440. Its totient is φ = 1516320.

The previous prime is 4642163. The next prime is 4642171. The reversal of 4642164 is 4612464.

4642164 is a `hidden beast` number, since 4 + 642 + 16 + 4 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5319 + ... + 6129.

It is an arithmetic number, because the mean of its divisors is an integer number (255780).

Almost surely, 2^4642164 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 4642164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138720).

4642164 is an abundant number, since it is smaller than the sum of its proper divisors (7635276).

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

4642164 is a wasteful number, since it uses less digits than its factorization.

4642164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 869 counting only the distinct ones).

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

The square root of 4642164 is about 2154.5681701910. The cubic root of 4642164 is about 166.8169435715.

It can be divided in two parts, 464 and 2164, that added together give a triangular number (2628 = T₇₂).

The spelling of 4642164 in words is "four million, six hundred forty-two thousand, one hundred sixty-four".