4002968 has 16 divisors (see below), whose sum is σ = 7748160. Its totient is φ = 1936800.

The previous prime is 4002961. The next prime is 4002979. The reversal of 4002968 is 8692004.

It is a self number, because there is not a number n which added to its sum of digits gives 4002968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002961) 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, 7823 + ... + 8318.

It is an arithmetic number, because the mean of its divisors is an integer number (484260).

Almost surely, 2^4002968 is an apocalyptic number.

It is an amenable number.

4002968 is a deficient number, since it is larger than the sum of its proper divisors (3745192).

4002968 is a wasteful number, since it uses less digits than its factorization.

4002968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16178 (or 16174 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 4002968 is about 2000.7418624100. The cubic root of 4002968 is about 158.7793572094.

It can be divided in two parts, 4002 and 968, that multiplied together give a triangular number (3873936 = T₂₇₈₃).

The spelling of 4002968 in words is "four million, two thousand, nine hundred sixty-eight".