4006920 has 32 divisors (see below), whose sum is σ = 12021120. Its totient is φ = 1068480.

The previous prime is 4006913. The next prime is 4006927. The reversal of 4006920 is 296004.

It is an interprime number because it is at equal distance from previous prime (4006913) and next prime (4006927).

It is not an unprimeable number, because it can be changed into a prime (4006927) 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, 16576 + ... + 16815.

It is an arithmetic number, because the mean of its divisors is an integer number (375660).

Almost surely, 2^4006920 is an apocalyptic number.

4006920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4006920 is an abundant number, since it is smaller than the sum of its proper divisors (8014200).

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

4006920 is a wasteful number, since it uses less digits than its factorization.

4006920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33405 (or 33401 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 4006920 is about 2001.7292524215. The cubic root of 4006920 is about 158.8315925867.

The spelling of 4006920 in words is "four million, six thousand, nine hundred twenty".