4002656 has 48 divisors (see below), whose sum is σ = 9144576. Its totient is φ = 1689216.

The previous prime is 4002643. The next prime is 4002671. The reversal of 4002656 is 6562004.

4002656 is nontrivially palindromic in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23885 + ... + 24051.

It is an arithmetic number, because the mean of its divisors is an integer number (190512).

Almost surely, 2^4002656 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 4002656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288).

4002656 is an abundant number, since it is smaller than the sum of its proper divisors (5141920).

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

4002656 is a wasteful number, since it uses less digits than its factorization.

4002656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 4002656 is about 2000.6638898126. The cubic root of 4002656 is about 158.7752318999.

The spelling of 4002656 in words is "four million, two thousand, six hundred fifty-six".