4079968 has 24 divisors (see below), whose sum is σ = 8172360. Its totient is φ = 2004480.

The previous prime is 4079963. The next prime is 4079987. The reversal of 4079968 is 8699704.

It is a super-2 number, since 2×4079968² = 33292277762048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4079963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 808 + ... + 2968.

It is an arithmetic number, because the mean of its divisors is an integer number (340515).

Almost surely, 2^4079968 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 4079968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086180).

4079968 is an abundant number, since it is smaller than the sum of its proper divisors (4092392).

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

4079968 is a wasteful number, since it uses less digits than its factorization.

4079968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 4079968 is about 2019.8930664765. The cubic root of 4079968 is about 159.7909770527.

It can be divided in two parts, 407 and 9968, that multiplied together give a triangular number (4056976 = T₂₈₄₈).

The spelling of 4079968 in words is "four million, seventy-nine thousand, nine hundred sixty-eight".