2697664 has 28 divisors (see below), whose sum is σ = 5448808. Its totient is φ = 1324800.

The previous prime is 2697661. The next prime is 2697689. The reversal of 2697664 is 4667962.

It is a d-powerful number, because it can be written as 2²¹ + 6³ + 9⁶ + 7⁵ + 6⁴ + 6⁶ + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2697661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3559 + ... + 4249.

2^2697664 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 2697664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724404).

2697664 is an abundant number, since it is smaller than the sum of its proper divisors (2751144).

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

2697664 is an equidigital number, since it uses as much as digits as its factorization.

2697664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 754 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 2697664 is about 1642.4566965372. The cubic root of 2697664 is about 139.2074950824.

The spelling of 2697664 in words is "two million, six hundred ninety-seven thousand, six hundred sixty-four".