609001600 has 48 divisors (see below), whose sum is σ = 1504432170. Its totient is φ = 243599360.

The previous prime is 609001583. The next prime is 609001609. The reversal of 609001600 is 6100906.

It can be written as a sum of positive squares in 3 ways, for example, as 266603584 + 342398016 = 16328^2 + 18504^2 .

It is not an unprimeable number, because it can be changed into a prime (609001609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91957 + ... + 98356.

Almost surely, 2^609001600 is an apocalyptic number.

It is an amenable number.

609001600 is an abundant number, since it is smaller than the sum of its proper divisors (895430570).

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

609001600 is a wasteful number, since it uses less digits than its factorization.

609001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190337 (or 190320 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 609001600 is about 24677.9577761208. The cubic root of 609001600 is about 847.6296591013.

It can be divided in two parts, 60900 and 1600, that added together give a square (62500 = 250²).

The spelling of 609001600 in words is "six hundred nine million, one thousand, six hundred".