4871664 has 120 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1384128.

The previous prime is 4871663. The next prime is 4871687. The reversal of 4871664 is 4661784.

It is a super-2 number, since 2×4871664² = 47466220257792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (4871663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27127 + ... + 27305.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 2^4871664 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 4871664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

4871664 is an abundant number, since it is smaller than the sum of its proper divisors (11377296).

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

4871664 is a wasteful number, since it uses less digits than its factorization.

4871664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4871664 is about 2207.1846320596. The cubic root of 4871664 is about 169.5218861237.

The spelling of 4871664 in words is "four million, eight hundred seventy-one thousand, six hundred sixty-four".