609552000 has 512 divisors, whose sum is σ = 2405894400. Its totient is φ = 151142400.

The previous prime is 609551989. The next prime is 609552019. The reversal of 609552000 is 255906.

609552000 is a `hidden beast` number, since 609 + 5 + 52 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7343959 + ... + 7344041.

Almost surely, 2^609552000 is an apocalyptic number.

609552000 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 609552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947200).

609552000 is an abundant number, since it is smaller than the sum of its proper divisors (1796342400).

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

609552000 is a wasteful number, since it uses less digits than its factorization.

609552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 609552000 is about 24689.1069097284. The cubic root of 609552000 is about 847.8849375151.

The spelling of 609552000 in words is "six hundred nine million, five hundred fifty-two thousand".