2713968 has 60 divisors (see below), whose sum is σ = 7776288. Its totient is φ = 883200.

The previous prime is 2713967. The next prime is 2713973. The reversal of 2713968 is 8693172.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2713961) 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, 6568 + ... + 6968.

2^2713968 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 2713968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888144).

2713968 is an abundant number, since it is smaller than the sum of its proper divisors (5062320).

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

2713968 is a wasteful number, since it uses less digits than its factorization.

2713968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 453 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2713968 is about 1647.4125166454. The cubic root of 2713968 is about 139.4873769747.

The spelling of 2713968 in words is "two million, seven hundred thirteen thousand, nine hundred sixty-eight".