1313664 has 64 divisors (see below), whose sum is σ = 3818880. Its totient is φ = 396800.

The previous prime is 1313657. The next prime is 1313677. The reversal of 1313664 is 4663131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4069 + ... + 4379.

It is an arithmetic number, because the mean of its divisors is an integer number (59670).

2^1313664 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 1313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909440).

1313664 is an abundant number, since it is smaller than the sum of its proper divisors (2505216).

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

1313664 is a wasteful number, since it uses less digits than its factorization.

1313664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 327 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 1313664 is about 1146.1518224040. The cubic root of 1313664 is about 109.5203356656.

Adding to 1313664 its reverse (4663131), we get a palindrome (5976795).

The spelling of 1313664 in words is "one million, three hundred thirteen thousand, six hundred sixty-four".