4075968 has 112 divisors (see below), whose sum is σ = 12289536. Its totient is φ = 1182720.

The previous prime is 4075963. The next prime is 4075987. The reversal of 4075968 is 8695704.

It is a super-2 number, since 2×4075968² = 33227030274048, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4075963) 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, 57373 + ... + 57443.

It is an arithmetic number, because the mean of its divisors is an integer number (109728).

Almost surely, 2^4075968 is an apocalyptic number.

4075968 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 4075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768).

4075968 is an abundant number, since it is smaller than the sum of its proper divisors (8213568).

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

4075968 is a wasteful number, since it uses less digits than its factorization.

4075968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 4075968 is about 2018.9026722455. The cubic root of 4075968 is about 159.7387402949.

The spelling of 4075968 in words is "four million, seventy-five thousand, nine hundred sixty-eight".