609528960 has 384 divisors, whose sum is σ = 2255526000. Its totient is φ = 151388160.

The previous prime is 609528943. The next prime is 609528961. The reversal of 609528960 is 69825906.

609528960 is a `hidden beast` number, since 60 + 9 + 528 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 46131264 + 563397696 = 6792^2 + 23736^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (609528961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6848596 + ... + 6848684.

Almost surely, 2^609528960 is an apocalyptic number.

609528960 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 609528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127763000).

609528960 is an abundant number, since it is smaller than the sum of its proper divisors (1645997040).

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

609528960 is a wasteful number, since it uses less digits than its factorization.

609528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 609528960 is about 24688.6403027789. The cubic root of 609528960 is about 847.8742545244.

The spelling of 609528960 in words is "six hundred nine million, five hundred twenty-eight thousand, nine hundred sixty".