4208864 has 36 divisors (see below), whose sum is σ = 9116352. Its totient is φ = 1911360.

The previous prime is 4208863. The next prime is 4208879. The reversal of 4208864 is 4688024.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4208864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4208863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3329 + ... + 4415.

It is an arithmetic number, because the mean of its divisors is an integer number (253232).

Almost surely, 2^4208864 is an apocalyptic number.

4208864 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 4208864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558176).

4208864 is an abundant number, since it is smaller than the sum of its proper divisors (4907488).

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

4208864 is a wasteful number, since it uses less digits than its factorization.

4208864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4208864 is about 2051.5516079300. The cubic root of 4208864 is about 161.4562882719.

The spelling of 4208864 in words is "four million, two hundred eight thousand, eight hundred sixty-four".