4125968 has 80 divisors (see below), whose sum is σ = 10606464. Its totient is φ = 1505280.

The previous prime is 4125967. The next prime is 4125971. The reversal of 4125968 is 8695214.

It is a super-2 number, since 2×4125968² = 34047223874048, which contains 22 as substring.

Its product of digits (17280) is a multiple of the sum of its prime factors (240).

It is not an unprimeable number, because it can be changed into a prime (4125967) 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, 20846 + ... + 21042.

Almost surely, 2^4125968 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 4125968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303232).

4125968 is an abundant number, since it is smaller than the sum of its proper divisors (6480496).

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

4125968 is a wasteful number, since it uses less digits than its factorization.

4125968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 4125968 is about 2031.2478923066. The cubic root of 4125968 is about 160.3892605418.

The spelling of 4125968 in words is "four million, one hundred twenty-five thousand, nine hundred sixty-eight".