1353027840 has 288 divisors, whose sum is σ = 4529831040. Its totient is φ = 343867392.

The previous prime is 1353027833. The next prime is 1353027853. The reversal of 1353027840 is 487203531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12645067 + ... + 12645173.

It is an arithmetic number, because the mean of its divisors is an integer number (15728580).

Almost surely, 2^1353027840 is an apocalyptic number.

1353027840 is a gapful number since it is divisible by the number (10) 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 1353027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264915520).

1353027840 is an abundant number, since it is smaller than the sum of its proper divisors (3176803200).

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

1353027840 is a wasteful number, since it uses less digits than its factorization.

1353027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1353027840 is about 36783.5267477168. The cubic root of 1353027840 is about 1106.0351035863.

The spelling of 1353027840 in words is "one billion, three hundred fifty-three million, twenty-seven thousand, eight hundred forty".