2897664 has 144 divisors (see below), whose sum is σ = 9811200. Its totient is φ = 752640.

The previous prime is 2897627. The next prime is 2897689. The reversal of 2897664 is 4667982.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 2¹⁵ + 8⁵ + 9⁵ + 7⁷ + 6⁵ + 6⁸ + 4⁹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263419 + ... + 263429.

2^2897664 is an apocalyptic number.

2897664 is a gapful number since it is divisible by the number (24) 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 2897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905600).

2897664 is an abundant number, since it is smaller than the sum of its proper divisors (6913536).

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

2897664 is an equidigital number, since it uses as much as digits as its factorization.

2897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 23 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 2897664 is about 1702.2526251999. The cubic root of 2897664 is about 142.5660143505.

The spelling of 2897664 in words is "two million, eight hundred ninety-seven thousand, six hundred sixty-four".