4100864 has 36 divisors (see below), whose sum is σ = 8327256. Its totient is φ = 2015232.

The previous prime is 4100849. The next prime is 4100879. The reversal of 4100864 is 4680014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4100849) and next prime (4100879).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21152 + ... + 21344.

Almost surely, 2^4100864 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 4100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163628).

4100864 is an abundant number, since it is smaller than the sum of its proper divisors (4226392).

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

4100864 is an equidigital number, since it uses as much as digits as its factorization.

4100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4100864 is about 2025.0590114858. The cubic root of 4100864 is about 160.0633082804.

Adding to 4100864 its reverse (4680014), we get a palindrome (8780878).

The spelling of 4100864 in words is "four million, one hundred thousand, eight hundred sixty-four".