609223680 has 440 divisors, whose sum is σ = 2371850712. Its totient is φ = 148635648.

The previous prime is 609223663. The next prime is 609223709. The reversal of 609223680 is 86322906.

It can be written as a sum of positive squares in 4 ways, for example, as 23970816 + 585252864 = 4896^2 + 24192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391304 + ... + 5391416.

Almost surely, 2^609223680 is an apocalyptic number.

609223680 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 609223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185925356).

609223680 is an abundant number, since it is smaller than the sum of its proper divisors (1762627032).

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

609223680 is a wasteful number, since it uses less digits than its factorization.

609223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 609223680 is about 24682.4569279478. The cubic root of 609223680 is about 847.7326794753.

The spelling of 609223680 in words is "six hundred nine million, two hundred twenty-three thousand, six hundred eighty".