2164968 has 80 divisors (see below), whose sum is σ = 6555780. Its totient is φ = 663552.

The previous prime is 2164963. The next prime is 2164979. The reversal of 2164968 is 8694612.

2164968 is a `hidden beast` number, since 2 + 1 + 649 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 39204 = 1458^2 + 198^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹¹ + 1 + 6 + 4⁸ + 9 + 6³ + 8⁷ .

Its product of digits (20736) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (2164963) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 8296 + ... + 8552.

2^2164968 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 2164968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277890).

2164968 is an abundant number, since it is smaller than the sum of its proper divisors (4390812).

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

2164968 is a wasteful number, since it uses less digits than its factorization.

2164968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2164968 is about 1471.3830228734. The cubic root of 2164968 is about 129.3651095149.

It can be divided in two parts, 216 and 4968, that added together give a square (5184 = 72²).

The spelling of 2164968 in words is "two million, one hundred sixty-four thousand, nine hundred sixty-eight".