609120000 has 450 divisors, whose sum is σ = 2317920528. Its totient is φ = 158976000.

The previous prime is 609119999. The next prime is 609120007. The reversal of 609120000 is 21906.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609120007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12959977 + ... + 12960023.

Almost surely, 2^609120000 is an apocalyptic number.

609120000 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 609120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158960264).

609120000 is an abundant number, since it is smaller than the sum of its proper divisors (1708800528).

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

609120000 is an frugal number, since it uses more digits than its factorization.

609120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 609120000 is about 24680.3565614438. The cubic root of 609120000 is about 847.6845866245.

Adding to 609120000 its reverse (21906), we get a palindrome (609141906).

The spelling of 609120000 in words is "six hundred nine million, one hundred twenty thousand".