4671864 has 64 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 1518048.

The previous prime is 4671859. The next prime is 4671869. The reversal of 4671864 is 4681764.

It is an interprime number because it is at equal distance from previous prime (4671859) and next prime (4671869).

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

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4671869) 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 15 ways as a sum of consecutive naturals, for example, 9037 + ... + 9539.

It is an arithmetic number, because the mean of its divisors is an integer number (207900).

Almost surely, 2^4671864 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 4671864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

4671864 is an abundant number, since it is smaller than the sum of its proper divisors (8633736).

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

4671864 is a wasteful number, since it uses less digits than its factorization.

4671864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

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

The square root of 4671864 is about 2161.4495136366. The cubic root of 4671864 is about 167.1719457216.

The spelling of 4671864 in words is "four million, six hundred seventy-one thousand, eight hundred sixty-four".