2087664 has 80 divisors (see below), whose sum is σ = 5904384. Its totient is φ = 633600.

The previous prime is 2087627. The next prime is 2087669. The reversal of 2087664 is 4667802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34194 + ... + 34254.

2^2087664 is an apocalyptic number.

2087664 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 2087664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952192).

2087664 is an abundant number, since it is smaller than the sum of its proper divisors (3816720).

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

2087664 is a wasteful number, since it uses less digits than its factorization.

2087664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2087664 is about 1444.8750811056. The cubic root of 2087664 is about 127.8066743020.

The spelling of 2087664 in words is "two million, eighty-seven thousand, six hundred sixty-four".