1353568320 has 504 divisors, whose sum is σ = 5278867776. Its totient is φ = 329951232.

The previous prime is 1353568309. The next prime is 1353568327. The reversal of 1353568320 is 238653531.

1353568320 is a `hidden beast` number, since 13 + 53 + 568 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1353568327) 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 71 ways as a sum of consecutive naturals, for example, 13141389 + ... + 13141491.

It is an arithmetic number, because the mean of its divisors is an integer number (10473944).

Almost surely, 2^1353568320 is an apocalyptic number.

1353568320 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 1353568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639433888).

1353568320 is an abundant number, since it is smaller than the sum of its proper divisors (3925299456).

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

1353568320 is a wasteful number, since it uses less digits than its factorization.

1353568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1353568320 is about 36790.8727811668. The cubic root of 1353568320 is about 1106.1823561052.

The spelling of 1353568320 in words is "one billion, three hundred fifty-three million, five hundred sixty-eight thousand, three hundred twenty".