4006128 has 40 divisors (see below), whose sum is σ = 11828608. Its totient is φ = 1144512.

The previous prime is 4006109. The next prime is 4006129. The reversal of 4006128 is 8216004.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5626 + ... + 6297.

Almost surely, 2^4006128 is an apocalyptic number.

4006128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4006128 is an abundant number, since it is smaller than the sum of its proper divisors (7822480).

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

4006128 is a wasteful number, since it uses less digits than its factorization.

4006128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11941 (or 11935 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4006128 is about 2001.5314136930. The cubic root of 4006128 is about 158.8211271161.

The spelling of 4006128 in words is "four million, six thousand, one hundred twenty-eight".