4131648 has 70 divisors (see below), whose sum is σ = 12262866. Its totient is φ = 1375488.

The previous prime is 4131643. The next prime is 4131653. The reversal of 4131648 is 8461314.

4131648 is a `hidden beast` number, since 4 + 13 + 1 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (4131643) and next prime (4131653).

It can be written as a sum of positive squares in only one way, i.e., 3504384 + 627264 = 1872^2 + 792^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131641) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4786 + ... + 5582.

Almost surely, 2^4131648 is an apocalyptic number.

4131648 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 4131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131433).

4131648 is an abundant number, since it is smaller than the sum of its proper divisors (8131218).

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

4131648 is an equidigital number, since it uses as much as digits as its factorization.

4131648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 802 counting only the distinct ones).

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

The square root of 4131648 is about 2032.6455667430. The cubic root of 4131648 is about 160.4628265730.

The spelling of 4131648 in words is "four million, one hundred thirty-one thousand, six hundred forty-eight".