617026560 has 264 divisors, whose sum is σ = 2111521440. Its totient is φ = 153747456.

The previous prime is 617026559. The next prime is 617026561. The reversal of 617026560 is 65620716.

It is an interprime number because it is at equal distance from previous prime (617026559) and next prime (617026561).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617026561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4438971 + ... + 4439109.

Almost surely, 2^617026560 is an apocalyptic number.

617026560 is a gapful number since it is divisible by the number (60) 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 617026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055760720).

617026560 is an abundant number, since it is smaller than the sum of its proper divisors (1494494880).

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

617026560 is a wasteful number, since it uses less digits than its factorization.

617026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 617026560 is about 24840.0193236640. The cubic root of 617026560 is about 851.3365639144.

The spelling of 617026560 in words is "six hundred seventeen million, twenty-six thousand, five hundred sixty".