1353020800 has 96 divisors (see below), whose sum is σ = 3420461880. Its totient is φ = 528568320.

The previous prime is 1353020791. The next prime is 1353020813. The reversal of 1353020800 is 80203531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132684 + ... + 142516.

Almost surely, 2^1353020800 is an apocalyptic number.

1353020800 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 1353020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710230940).

1353020800 is an abundant number, since it is smaller than the sum of its proper divisors (2067441080).

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

1353020800 is an equidigital number, since it uses as much as digits as its factorization.

1353020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9900 (or 9883 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1353020800 is about 36783.4310525813. The cubic root of 1353020800 is about 1106.0331852959.

The spelling of 1353020800 in words is "one billion, three hundred fifty-three million, twenty thousand, eight hundred".