1350360864 has 144 divisors (see below), whose sum is σ = 4116202272. Its totient is φ = 418412544.

The previous prime is 1350360859. The next prime is 1350360877. The reversal of 1350360864 is 4680630531.

1350360864 is a `hidden beast` number, since 13 + 503 + 60 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404707 + ... + 408029.

It is an arithmetic number, because the mean of its divisors is an integer number (28584738).

Almost surely, 2^1350360864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350360864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058101136).

1350360864 is an abundant number, since it is smaller than the sum of its proper divisors (2765841408).

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

1350360864 is a wasteful number, since it uses less digits than its factorization.

1350360864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1350360864 is about 36747.2565506597. The cubic root of 1350360864 is about 1105.3079174369.

The spelling of 1350360864 in words is "one billion, three hundred fifty million, three hundred sixty thousand, eight hundred sixty-four".