2168000 has 56 divisors (see below), whose sum is σ = 5388864. Its totient is φ = 864000.

The previous prime is 2167999. The next prime is 2168009. The reversal of 2168000 is 8612.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2168000.

It is not an unprimeable number, because it can be changed into a prime (2168009) 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, 7865 + ... + 8135.

2^2168000 is an apocalyptic number.

2168000 is a gapful number since it is divisible by the number (20) 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 2168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694432).

2168000 is an abundant number, since it is smaller than the sum of its proper divisors (3220864).

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

2168000 is an equidigital number, since it uses as much as digits as its factorization.

2168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2168000 is about 1472.4129855445. The cubic root of 2168000 is about 129.4254725392.

It can be divided in two parts, 216 and 8000, that multiplied together give a cube (1728000 = 120³).

The spelling of 2168000 in words is "two million, one hundred sixty-eight thousand".