16008640 has 56 divisors (see below), whose sum is σ = 40142160. Its totient is φ = 6064128.

The previous prime is 16008637. The next prime is 16008649. The reversal of 16008640 is 4680061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16008649) 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, 4764 + ... + 7396.

Almost surely, 2^16008640 is an apocalyptic number.

16008640 is a gapful number since it is divisible by the number (10) 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 16008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20071080).

16008640 is an abundant number, since it is smaller than the sum of its proper divisors (24133520).

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

16008640 is a wasteful number, since it uses less digits than its factorization.

16008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 16008640 is about 4001.0798542394. The cubic root of 16008640 is about 252.0295589749.

It can be divided in two parts, 1600 and 8640, that multiplied together give a cube (13824000 = 240³).

The spelling of 16008640 in words is "sixteen million, eight thousand, six hundred forty".