2168640 has 112 divisors (see below), whose sum is σ = 7680960. Its totient is φ = 576000.

The previous prime is 2168623. The next prime is 2168651. The reversal of 2168640 is 468612.

2168640 is a `hidden beast` number, since 2 + 16 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8515 + ... + 8765.

It is an arithmetic number, because the mean of its divisors is an integer number (68580).

2^2168640 is an apocalyptic number.

2168640 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 2168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840480).

2168640 is an abundant number, since it is smaller than the sum of its proper divisors (5512320).

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

2168640 is a wasteful number, since it uses less digits than its factorization.

2168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2168640 is about 1472.6302998377. The cubic root of 2168640 is about 129.4382068801.

The spelling of 2168640 in words is "two million, one hundred sixty-eight thousand, six hundred forty".