1359112608 has 504 divisors, whose sum is σ = 4945453380. Its totient is φ = 365783040.

The previous prime is 1359112591. The next prime is 1359112627. The reversal of 1359112608 is 8062119531.

1359112608 is a `hidden beast` number, since 1 + 3 + 591 + 1 + 2 + 60 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1262523024 + 96589584 = 35532^2 + 9828^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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 83 ways as a sum of consecutive naturals, for example, 33149068 + ... + 33149108.

Almost surely, 2^1359112608 is an apocalyptic number.

1359112608 is a gapful number since it is divisible by the number (18) 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 1359112608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472726690).

1359112608 is an abundant number, since it is smaller than the sum of its proper divisors (3586340772).

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

1359112608 is an equidigital number, since it uses as much as digits as its factorization.

1359112608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1359112608 is about 36866.1444688755. The cubic root of 1359112608 is about 1107.6906259590.

The spelling of 1359112608 in words is "one billion, three hundred fifty-nine million, one hundred twelve thousand, six hundred eight".