609925680 has 640 divisors, whose sum is σ = 2699827200. Its totient is φ = 123088896.

The previous prime is 609925663. The next prime is 609925691. The reversal of 609925680 is 86529906.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 5700187 + ... + 5700293.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2^609925680 is an apocalyptic number.

609925680 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 609925680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349913600).

609925680 is an abundant number, since it is smaller than the sum of its proper divisors (2089901520).

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

609925680 is a wasteful number, since it uses less digits than its factorization.

609925680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 609925680 is about 24696.6734602051. The cubic root of 609925680 is about 848.0581646944.

It can be divided in two parts, 60 and 9925680, that added together give a triangular number (9925740 = T₄₄₅₅).

The spelling of 609925680 in words is "six hundred nine million, nine hundred twenty-five thousand, six hundred eighty".