729106608 has 320 divisors, whose sum is σ = 2279854080. Its totient is φ = 199065600.

The previous prime is 729106583. The next prime is 729106613. The reversal of 729106608 is 806601927.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17783068 + ... + 17783108.

It is an arithmetic number, because the mean of its divisors is an integer number (7124544).

Almost surely, 2^729106608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729106608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139927040).

729106608 is an abundant number, since it is smaller than the sum of its proper divisors (1550747472).

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

729106608 is a wasteful number, since it uses less digits than its factorization.

729106608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 729106608 is about 27001.9741500506. The cubic root of 729106608 is about 900.0438694665.

The spelling of 729106608 in words is "seven hundred twenty-nine million, one hundred six thousand, six hundred eight".