609991200 has 864 divisors, whose sum is σ = 2843568000. Its totient is φ = 121927680.

The previous prime is 609991183. The next prime is 609991201. The reversal of 609991200 is 2199906.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609991201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 32104791 + ... + 32104809.

Almost surely, 2^609991200 is an apocalyptic number.

609991200 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 609991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421784000).

609991200 is an abundant number, since it is smaller than the sum of its proper divisors (2233576800).

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

609991200 is a wasteful number, since it uses less digits than its factorization.

609991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 609991200 is about 24697.9999190218. Note that the first 4 decimals coincide. The cubic root of 609991200 is about 848.0885305697.

The spelling of 609991200 in words is "six hundred nine million, nine hundred ninety-one thousand, two hundred".