617061152 has 48 divisors (see below), whose sum is σ = 1253918232. Its totient is φ = 298721280.

The previous prime is 617061143. The next prime is 617061187. The reversal of 617061152 is 251160716.

It can be written as a sum of positive squares in 4 ways, for example, as 350588176 + 266472976 = 18724^2 + 16324^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178028 + ... + 181460.

Almost surely, 2^617061152 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 617061152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626959116).

617061152 is an abundant number, since it is smaller than the sum of its proper divisors (636857080).

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

617061152 is a wasteful number, since it uses less digits than its factorization.

617061152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 617061152 is about 24840.7156096599. The cubic root of 617061152 is about 851.3524729454.

The spelling of 617061152 in words is "six hundred seventeen million, sixty-one thousand, one hundred fifty-two".