617208064 has 72 divisors (see below), whose sum is σ = 1353945600. Its totient is φ = 278476800.

The previous prime is 617208043. The next prime is 617208079. The reversal of 617208064 is 460802716.

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 7 ways as a sum of consecutive naturals, for example, 418849 + ... + 420319.

It is an arithmetic number, because the mean of its divisors is an integer number (18804800).

Almost surely, 2^617208064 is an apocalyptic number.

617208064 is a gapful number since it is divisible by the number (64) 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 617208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676972800).

617208064 is an abundant number, since it is smaller than the sum of its proper divisors (736737536).

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

617208064 is a wasteful number, since it uses less digits than its factorization.

617208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 617208064 is about 24843.6725143446. The cubic root of 617208064 is about 851.4200318734.

The spelling of 617208064 in words is "six hundred seventeen million, two hundred eight thousand, sixty-four".