1353864960 has 432 divisors, whose sum is σ = 5438544384. Its totient is φ = 304570368.

The previous prime is 1353864959. The next prime is 1353864979. The reversal of 1353864960 is 694683531.

1353864960 is a `hidden beast` number, since 13 + 538 + 6 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8305839 + ... + 8306001.

Almost surely, 2^1353864960 is an apocalyptic number.

1353864960 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 1353864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719272192).

1353864960 is an abundant number, since it is smaller than the sum of its proper divisors (4084679424).

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

1353864960 is a wasteful number, since it uses less digits than its factorization.

1353864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1353864960 is about 36794.9039949828. The cubic root of 1353864960 is about 1106.2631583229.

The spelling of 1353864960 in words is "one billion, three hundred fifty-three million, eight hundred sixty-four thousand, nine hundred sixty".