617252240 has 240 divisors, whose sum is σ = 1734799680. Its totient is φ = 202245120.

The previous prime is 617252239. The next prime is 617252243. The reversal of 617252240 is 42252716.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (617252243) 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 47 ways as a sum of consecutive naturals, for example, 9212687 + ... + 9212753.

It is an arithmetic number, because the mean of its divisors is an integer number (7228332).

Almost surely, 2^617252240 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 617252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867399840).

617252240 is an abundant number, since it is smaller than the sum of its proper divisors (1117547440).

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

617252240 is a wasteful number, since it uses less digits than its factorization.

617252240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 617252240 is about 24844.5615779389. The cubic root of 617252240 is about 851.4403445450.

The spelling of 617252240 in words is "six hundred seventeen million, two hundred fifty-two thousand, two hundred forty".