1353968 has 60 divisors (see below), whose sum is σ = 3350232. Its totient is φ = 524160.

The previous prime is 1353967. The next prime is 1353973. The reversal of 1353968 is 8693531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8546 + ... + 8702.

2^1353968 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 1353968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675116).

1353968 is an abundant number, since it is smaller than the sum of its proper divisors (1996264).

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

1353968 is a wasteful number, since it uses less digits than its factorization.

1353968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 1353968 is about 1163.6013062901. The cubic root of 1353968 is about 110.6291222782.

The spelling of 1353968 in words is "one million, three hundred fifty-three thousand, nine hundred sixty-eight".