2393664 has 112 divisors (see below), whose sum is σ = 7851648. Its totient is φ = 626688.

The previous prime is 2393659. The next prime is 2393683. The reversal of 2393664 is 4663932.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (23328) is a multiple of the sum of its prime divisors (162).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17404 + ... + 17540.

It is an arithmetic number, because the mean of its divisors is an integer number (70104).

2^2393664 is an apocalyptic number.

2393664 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 2393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925824).

2393664 is an abundant number, since it is smaller than the sum of its proper divisors (5457984).

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

2393664 is a wasteful number, since it uses less digits than its factorization.

2393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 2393664 is about 1547.1470518344. The cubic root of 2393664 is about 133.7686659831.

The spelling of 2393664 in words is "two million, three hundred ninety-three thousand, six hundred sixty-four".