7008640 has 64 divisors (see below), whose sum is σ = 17184960. Its totient is φ = 2732032.

The previous prime is 7008619. The next prime is 7008653. The reversal of 7008640 is 468007.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 29964 + ... + 30196.

It is an arithmetic number, because the mean of its divisors is an integer number (268515).

Almost surely, 2^7008640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592480).

7008640 is an abundant number, since it is smaller than the sum of its proper divisors (10176320).

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

7008640 is a wasteful number, since it uses less digits than its factorization.

7008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 7008640 is about 2647.3836140612. The cubic root of 7008640 is about 191.3717893730.

The spelling of 7008640 in words is "seven million, eight thousand, six hundred forty".