1729903968 has 144 divisors (see below), whose sum is σ = 5528446560. Its totient is φ = 509110272.

The previous prime is 1729903961. The next prime is 1729903979. The reversal of 1729903968 is 8693099271.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1729903961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76068 + ... + 96156.

It is an arithmetic number, because the mean of its divisors is an integer number (38391990).

Almost surely, 2^1729903968 is an apocalyptic number.

1729903968 is a gapful number since it is divisible by the number (18) 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 1729903968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764223280).

1729903968 is an abundant number, since it is smaller than the sum of its proper divisors (3798542592).

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

1729903968 is a wasteful number, since it uses less digits than its factorization.

1729903968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20141 (or 20130 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 1729903968 is about 41592.1142525840. The cubic root of 1729903968 is about 1200.4405715608.

The spelling of 1729903968 in words is "one billion, seven hundred twenty-nine million, nine hundred three thousand, nine hundred sixty-eight".