609841920 has 288 divisors, whose sum is σ = 2072125440. Its totient is φ = 152616960.

The previous prime is 609841909. The next prime is 609841961. The reversal of 609841920 is 29148906.

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 31 ways as a sum of consecutive naturals, for example, 5594826 + ... + 5594934.

It is an arithmetic number, because the mean of its divisors is an integer number (7194880).

Almost surely, 2^609841920 is an apocalyptic number.

609841920 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 609841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036062720).

609841920 is an abundant number, since it is smaller than the sum of its proper divisors (1462283520).

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

609841920 is a wasteful number, since it uses less digits than its factorization.

609841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 609841920 is about 24694.9776270399. The cubic root of 609841920 is about 848.0193421481.

The spelling of 609841920 in words is "six hundred nine million, eight hundred forty-one thousand, nine hundred twenty".