609513984 has 280 divisors, whose sum is σ = 1932144192. Its totient is φ = 191600640.

The previous prime is 609513979. The next prime is 609513991. The reversal of 609513984 is 489315906.

It is a happy number.

609513984 is a `hidden beast` number, since 609 + 5 + 1 + 39 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8584669 + ... + 8584739.

Almost surely, 2^609513984 is an apocalyptic number.

609513984 is a gapful number since it is divisible by the number (64) 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 609513984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966072096).

609513984 is an abundant number, since it is smaller than the sum of its proper divisors (1322630208).

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

609513984 is an frugal number, since it uses more digits than its factorization.

609513984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

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

The square root of 609513984 is about 24688.3370035327. The cubic root of 609513984 is about 847.8673104360.

The spelling of 609513984 in words is "six hundred nine million, five hundred thirteen thousand, nine hundred eighty-four".