2707664 has 40 divisors (see below), whose sum is σ = 5571072. Its totient is φ = 1272960.

The previous prime is 2707657. The next prime is 2707699. The reversal of 2707664 is 4667072.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2707664.

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, 26237 + ... + 26339.

2^2707664 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 2707664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785536).

2707664 is an abundant number, since it is smaller than the sum of its proper divisors (2863408).

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

2707664 is a wasteful number, since it uses less digits than its factorization.

2707664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 2707664 is about 1645.4981008801. The cubic root of 2707664 is about 139.3792929027.

The spelling of 2707664 in words is "two million, seven hundred seven thousand, six hundred sixty-four".