4164864 has 144 divisors (see below), whose sum is σ = 13245120. Its totient is φ = 1146880.

The previous prime is 4164859. The next prime is 4164877. The reversal of 4164864 is 4684614.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

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, 143602 + ... + 143630.

It is an arithmetic number, because the mean of its divisors is an integer number (91980).

Almost surely, 2^4164864 is an apocalyptic number.

4164864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622560).

4164864 is an abundant number, since it is smaller than the sum of its proper divisors (9080256).

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

4164864 is a wasteful number, since it uses less digits than its factorization.

4164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 62 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 4164864 is about 2040.7998431987. The cubic root of 4164864 is about 160.8916880131.

The spelling of 4164864 in words is "four million, one hundred sixty-four thousand, eight hundred sixty-four".