4120864 has 48 divisors (see below), whose sum is σ = 9253440. Its totient is φ = 1788160.

The previous prime is 4120849. The next prime is 4120873. The reversal of 4120864 is 4680214.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7842 + ... + 8350.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 2^4120864 is an apocalyptic number.

4120864 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 4120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626720).

4120864 is an abundant number, since it is smaller than the sum of its proper divisors (5132576).

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

4120864 is a wasteful number, since it uses less digits than its factorization.

4120864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4120864 is about 2029.9911329856. The cubic root of 4120864 is about 160.3230971124.

The spelling of 4120864 in words is "four million, one hundred twenty thousand, eight hundred sixty-four".