4009680 has 60 divisors (see below), whose sum is σ = 13468260. Its totient is φ = 1069056.

The previous prime is 4009679. The next prime is 4009721. The reversal of 4009680 is 869004.

It can be written as a sum of positive squares in 2 ways, for example, as 1065024 + 2944656 = 1032^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2065 + ... + 3504.

It is an arithmetic number, because the mean of its divisors is an integer number (224471).

Almost surely, 2^4009680 is an apocalyptic number.

4009680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4009680 is an abundant number, since it is smaller than the sum of its proper divisors (9458580).

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

4009680 is a wasteful number, since it uses less digits than its factorization.

4009680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4009680 is about 2002.4185376689. The cubic root of 4009680 is about 158.8680523930.

The spelling of 4009680 in words is "four million, nine thousand, six hundred eighty".