2167888 has 40 divisors (see below), whose sum is σ = 4517568. Its totient is φ = 1005312.

The previous prime is 2167883. The next prime is 2167889. The reversal of 2167888 is 8887612.

2167888 is nontrivially palindromic in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 2167888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2167883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15756 + ... + 15892.

2^2167888 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 2167888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258784).

2167888 is an abundant number, since it is smaller than the sum of its proper divisors (2349680).

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

2167888 is a wasteful number, since it uses less digits than its factorization.

2167888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 43008, while the sum is 40.

The square root of 2167888 is about 1472.3749522455. The cubic root of 2167888 is about 129.4232437719.

The spelling of 2167888 in words is "two million, one hundred sixty-seven thousand, eight hundred eighty-eight".