1353964320 has 576 divisors, whose sum is σ = 5349576960. Its totient is φ = 309657600.

The previous prime is 1353964307. The next prime is 1353964321. The reversal of 1353964320 is 234693531.

It is a happy number.

1353964320 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 9 + 643 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353964321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19069885 + ... + 19069955.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2^1353964320 is an apocalyptic number.

1353964320 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 1353964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674788480).

1353964320 is an abundant number, since it is smaller than the sum of its proper divisors (3995612640).

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

1353964320 is a wasteful number, since it uses less digits than its factorization.

1353964320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 1353964320 is about 36796.2541571829. The cubic root of 1353964320 is about 1106.2902205045.

The spelling of 1353964320 in words is "one billion, three hundred fifty-three million, nine hundred sixty-four thousand, three hundred twenty".