4006968 has 128 divisors (see below), whose sum is σ = 12856320. Its totient is φ = 1013760.

The previous prime is 4006963. The next prime is 4006969. The reversal of 4006968 is 8696004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65658 + ... + 65718.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

Almost surely, 2^4006968 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 4006968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

4006968 is an abundant number, since it is smaller than the sum of its proper divisors (8849352).

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

4006968 is a wasteful number, since it uses less digits than its factorization.

4006968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4006968 is about 2001.7412420191. The cubic root of 4006968 is about 158.8322268133.

The spelling of 4006968 in words is "four million, six thousand, nine hundred sixty-eight".