609768900 has 324 divisors, whose sum is σ = 2188870320. Its totient is φ = 141523200.

The previous prime is 609768899. The next prime is 609768911. The reversal of 609768900 is 9867906.

It is a super-2 number, since 2×609768900² = 743636222814420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2889795 + ... + 2890005.

Almost surely, 2^609768900 is an apocalyptic number.

609768900 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 609768900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094435160).

609768900 is an abundant number, since it is smaller than the sum of its proper divisors (1579101420).

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

609768900 is a wasteful number, since it uses less digits than its factorization.

609768900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 609768900 is about 24693.4991445117. The cubic root of 609768900 is about 847.9854946641.

The spelling of 609768900 in words is "six hundred nine million, seven hundred sixty-eight thousand, nine hundred".