4197648 has 120 divisors (see below), whose sum is σ = 13790784. Its totient is φ = 1071360.

The previous prime is 4197647. The next prime is 4197667. The reversal of 4197648 is 8467914.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (48384) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (4197647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135393 + ... + 135423.

Almost surely, 2^4197648 is an apocalyptic number.

4197648 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 4197648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6895392).

4197648 is an abundant number, since it is smaller than the sum of its proper divisors (9593136).

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

4197648 is a wasteful number, since it uses less digits than its factorization.

4197648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 56 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 4197648 is about 2048.8162435904. The cubic root of 4197648 is about 161.3127416441.

It can be divided in two parts, 41976 and 48, that added together give a palindrome (42024).

The spelling of 4197648 in words is "four million, one hundred ninety-seven thousand, six hundred forty-eight".