2164864 has 32 divisors (see below), whose sum is σ = 4648140. Its totient is φ = 998400.

The previous prime is 2164859. The next prime is 2164901. The reversal of 2164864 is 4684612.

It can be written as a sum of positive squares in 2 ways, for example, as 1537600 + 627264 = 1240^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2164864² = 9373272276992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1014 + ... + 2314.

2^2164864 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 2164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324070).

2164864 is an abundant number, since it is smaller than the sum of its proper divisors (2483276).

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

2164864 is a wasteful number, since it uses less digits than its factorization.

2164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1316 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 2164864 is about 1471.3476815491. The cubic root of 2164864 is about 129.3630380159.

It can be divided in two parts, 21648 and 64, that added together give a palindrome (21712).

The spelling of 2164864 in words is "two million, one hundred sixty-four thousand, eight hundred sixty-four".