4081968 has 80 divisors (see below), whose sum is σ = 12796800. Its totient is φ = 1235520.

The previous prime is 4081963. The next prime is 4081969. The reversal of 4081968 is 8691804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4081963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4323 + ... + 5181.

It is an arithmetic number, because the mean of its divisors is an integer number (159960).

Almost surely, 2^4081968 is an apocalyptic number.

4081968 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 4081968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398400).

4081968 is an abundant number, since it is smaller than the sum of its proper divisors (8714832).

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

4081968 is a wasteful number, since it uses less digits than its factorization.

4081968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4081968 is about 2020.3880815329. The cubic root of 4081968 is about 159.8170826291.

The spelling of 4081968 in words is "four million, eighty-one thousand, nine hundred sixty-eight".