1613128608 has 360 divisors, whose sum is σ = 5949324612. Its totient is φ = 425005056.

The previous prime is 1613128603. The next prime is 1613128619. The reversal of 1613128608 is 8068213161.

1613128608 is a `hidden beast` number, since 16 + 1 + 31 + 2 + 8 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1605444624 + 7683984 = 40068^2 + 2772^2 .

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 (1613128603) 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 59 ways as a sum of consecutive naturals, for example, 1650616 + ... + 1651592.

Almost surely, 2^1613128608 is an apocalyptic number.

1613128608 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 1613128608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974662306).

1613128608 is an abundant number, since it is smaller than the sum of its proper divisors (4336196004).

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

1613128608 is a wasteful number, since it uses less digits than its factorization.

1613128608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1613128608 is about 40163.7723327877. The cubic root of 1613128608 is about 1172.7974087755.

The spelling of 1613128608 in words is "one billion, six hundred thirteen million, one hundred twenty-eight thousand, six hundred eight".