2079648 has 96 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 661248.

The previous prime is 2079647. The next prime is 2079653. The reversal of 2079648 is 8469702.

2079648 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079641) 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 15 ways as a sum of consecutive naturals, for example, 25015 + ... + 25097.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

2^2079648 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 2079648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2079648 is an abundant number, since it is smaller than the sum of its proper divisors (4270752).

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

2079648 is a wasteful number, since it uses less digits than its factorization.

2079648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2079648 is about 1442.0984709790. The cubic root of 2079648 is about 127.6428847969.

The spelling of 2079648 in words is "two million, seventy-nine thousand, six hundred forty-eight".