609696000 has 432 divisors, whose sum is σ = 2300603760. Its totient is φ = 154828800.

The previous prime is 609695987. The next prime is 609696067. The reversal of 609696000 is 696906.

It can be written as a sum of positive squares in 8 ways, for example, as 171714816 + 437981184 = 13104^2 + 20928^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8351964 + ... + 8352036.

Almost surely, 2^609696000 is an apocalyptic number.

609696000 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 609696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150301880).

609696000 is an abundant number, since it is smaller than the sum of its proper divisors (1690907760).

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

609696000 is a wasteful number, since it uses less digits than its factorization.

609696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 609696000 is about 24692.0230033912. The cubic root of 609696000 is about 847.9517001089.

The spelling of 609696000 in words is "six hundred nine million, six hundred ninety-six thousand".