1353664 has 28 divisors (see below), whose sum is σ = 2894584. Its totient is φ = 624384.

The previous prime is 1353641. The next prime is 1353679. The reversal of 1353664 is 4663531.

It is a d-powerful number, because it can be written as 1 + 3⁴ + 5³ + 3¹² + 6⁷ + 6⁷ + 4⁹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19 + ... + 1645.

It is an arithmetic number, because the mean of its divisors is an integer number (103378).

2^1353664 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 1353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447292).

1353664 is an abundant number, since it is smaller than the sum of its proper divisors (1540920).

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

1353664 is a wasteful number, since it uses less digits than its factorization.

1353664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1642 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 1353664 is about 1163.4706700214. The cubic root of 1353664 is about 110.6208419815.

The spelling of 1353664 in words is "one million, three hundred fifty-three thousand, six hundred sixty-four".