4006680 has 64 divisors (see below), whose sum is σ = 12152160. Its totient is φ = 1056768.

The previous prime is 4006661. The next prime is 4006687. The reversal of 4006680 is 866004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4006680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20664 + ... + 20856.

Almost surely, 2^4006680 is an apocalyptic number.

4006680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4006680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076080).

4006680 is an abundant number, since it is smaller than the sum of its proper divisors (8145480).

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

4006680 is a wasteful number, since it uses less digits than its factorization.

4006680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4006680 is about 2001.6693033566. The cubic root of 4006680 is about 158.8284213776.

The spelling of 4006680 in words is "four million, six thousand, six hundred eighty".