1353688 has 32 divisors (see below), whose sum is σ = 3029760. Its totient is φ = 554400.

The previous prime is 1353679. The next prime is 1353689. The reversal of 1353688 is 8863531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353689) by changing a digit.

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, 763 + ... + 1813.

It is an arithmetic number, because the mean of its divisors is an integer number (94680).

2^1353688 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 1353688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514880).

1353688 is an abundant number, since it is smaller than the sum of its proper divisors (1676072).

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

1353688 is a wasteful number, since it uses less digits than its factorization.

1353688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1083 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 1353688 is about 1163.4809839443. The cubic root of 1353688 is about 110.6214957342.

The spelling of 1353688 in words is "one million, three hundred fifty-three thousand, six hundred eighty-eight".