4113648 has 180 divisors, whose sum is σ = 14885208. Its totient is φ = 1048320.

The previous prime is 4113647. The next prime is 4113661. The reversal of 4113648 is 8463114.

4113648 is a `hidden beast` number, since 4 + 1 + 13 + 648 = 666.

4113648 is digitally balanced in base 5 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

4113648 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77590 + ... + 77642.

Almost surely, 2^4113648 is an apocalyptic number.

4113648 is a gapful number since it is divisible by the number (48) 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 4113648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442604).

4113648 is an abundant number, since it is smaller than the sum of its proper divisors (10771560).

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

4113648 is a wasteful number, since it uses less digits than its factorization.

4113648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4113648 is about 2028.2130065651. The cubic root of 4113648 is about 160.2294624281.

It can be divided in two parts, 4113 and 648, that added together give a square (4761 = 69²).

The spelling of 4113648 in words is "four million, one hundred thirteen thousand, six hundred forty-eight".