2014968 has 32 divisors (see below), whose sum is σ = 5126400. Its totient is φ = 659808.

The previous prime is 2014967. The next prime is 2014979. The reversal of 2014968 is 8694102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 705 + ... + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (160200).

2^2014968 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 2014968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563200).

2014968 is an abundant number, since it is smaller than the sum of its proper divisors (3111432).

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

2014968 is a wasteful number, since it uses less digits than its factorization.

2014968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2014968 is about 1419.4956850938. The cubic root of 2014968 is about 126.3056324435.

The spelling of 2014968 in words is "two million, fourteen thousand, nine hundred sixty-eight".