2083968 has 96 divisors (see below), whose sum is σ = 6311760. Its totient is φ = 684288.

The previous prime is 2083967. The next prime is 2083973. The reversal of 2083968 is 8693802.

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 not an unprimeable number, because it can be changed into a prime (2083967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31071 + ... + 31137.

2^2083968 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 2083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155880).

2083968 is an abundant number, since it is smaller than the sum of its proper divisors (4227792).

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

2083968 is an frugal number, since it uses more digits than its factorization.

2083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

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

The square root of 2083968 is about 1443.5955112150. The cubic root of 2083968 is about 127.7312067769.

The spelling of 2083968 in words is "two million, eighty-three thousand, nine hundred sixty-eight".