4115648 has 28 divisors (see below), whose sum is σ = 8257032. Its totient is φ = 2035200.

The previous prime is 4115641. The next prime is 4115681. The reversal of 4115648 is 8465114.

4115648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4115648³ (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4115648.

It is not an unprimeable number, because it can be changed into a prime (4115641) 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 3 ways as a sum of consecutive naturals, for example, 6548 + ... + 7148.

It is an arithmetic number, because the mean of its divisors is an integer number (294894).

Almost surely, 2^4115648 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 4115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128516).

4115648 is an abundant number, since it is smaller than the sum of its proper divisors (4141384).

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

4115648 is a wasteful number, since it uses less digits than its factorization.

4115648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 4115648 is about 2028.7059915128. The cubic root of 4115648 is about 160.2554253532.

The spelling of 4115648 in words is "four million, one hundred fifteen thousand, six hundred forty-eight".