2357664 has 48 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 765440.

The previous prime is 2357657. The next prime is 2357683. The reversal of 2357664 is 4667532.

2357664 is digitally balanced in base 2, 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 (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3637 + ... + 4235.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

2^2357664 is an apocalyptic number.

2357664 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 2357664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2357664 is an abundant number, since it is smaller than the sum of its proper divisors (3992736).

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

2357664 is a wasteful number, since it uses less digits than its factorization.

2357664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 2357664 is about 1535.4686580976. The cubic root of 2357664 is about 133.0946619135.

The spelling of 2357664 in words is "two million, three hundred fifty-seven thousand, six hundred sixty-four".