2813664 has 96 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 778752.

The previous prime is 2813663. The next prime is 2813669. The reversal of 2813664 is 4663182.

2813664 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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

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

Its product of digits (6912) is a multiple of the sum of its prime divisors (144).

2813664 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35577 + ... + 35655.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

2^2813664 is an apocalyptic number.

2813664 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 2813664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2813664 is an abundant number, since it is smaller than the sum of its proper divisors (5895456).

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

2813664 is a wasteful number, since it uses less digits than its factorization.

2813664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2813664 is about 1677.3979849755. The cubic root of 2813664 is about 141.1748748186.

The spelling of 2813664 in words is "two million, eight hundred thirteen thousand, six hundred sixty-four".