4009640 has 32 divisors (see below), whose sum is σ = 9180000. Its totient is φ = 1575744.

The previous prime is 4009639. The next prime is 4009667. The reversal of 4009640 is 469004.

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, 1511 + ... + 3209.

It is an arithmetic number, because the mean of its divisors is an integer number (286875).

Almost surely, 2^4009640 is an apocalyptic number.

4009640 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 4009640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590000).

4009640 is an abundant number, since it is smaller than the sum of its proper divisors (5170360).

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

4009640 is a wasteful number, since it uses less digits than its factorization.

4009640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4009640 is about 2002.4085497221. The cubic root of 4009640 is about 158.8675241096.

The spelling of 4009640 in words is "four million, nine thousand, six hundred forty".