4126968 has 72 divisors (see below), whose sum is σ = 11812320. Its totient is φ = 1300320.

The previous prime is 4126963. The next prime is 4126979. The reversal of 4126968 is 8696214.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×4126968³ (a number of 21 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4126963) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 95955 + ... + 95997.

It is an arithmetic number, because the mean of its divisors is an integer number (164060).

Almost surely, 2^4126968 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 4126968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906160).

4126968 is an abundant number, since it is smaller than the sum of its proper divisors (7685352).

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

4126968 is a wasteful number, since it uses less digits than its factorization.

4126968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 79 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4126968 is about 2031.4940314950. The cubic root of 4126968 is about 160.4022172027.

The spelling of 4126968 in words is "four million, one hundred twenty-six thousand, nine hundred sixty-eight".