2162664 has 72 divisors (see below), whose sum is σ = 6824610. Its totient is φ = 616896.

The previous prime is 2162663. The next prime is 2162681. The reversal of 2162664 is 4662612.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2160900 + 1764 = 1470^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2162663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3222 + ... + 3834.

2^2162664 is an apocalyptic number.

2162664 is a gapful number since it is divisible by the number (24) 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 2162664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412305).

2162664 is an abundant number, since it is smaller than the sum of its proper divisors (4661946).

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

2162664 is a wasteful number, since it uses less digits than its factorization.

2162664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 625 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2162664 is about 1470.5998776010. The cubic root of 2162664 is about 129.3192022917.

The spelling of 2162664 in words is "two million, one hundred sixty-two thousand, six hundred sixty-four".