1729961016 has 128 divisors (see below), whose sum is σ = 5013550080. Its totient is φ = 487259136.

The previous prime is 1729960961. The next prime is 1729961029. The reversal of 1729961016 is 6101699271.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5526876 + ... + 5527188.

It is an arithmetic number, because the mean of its divisors is an integer number (39168360).

Almost surely, 2^1729961016 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 1729961016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506775040).

1729961016 is an abundant number, since it is smaller than the sum of its proper divisors (3283589064).

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

1729961016 is a wasteful number, since it uses less digits than its factorization.

1729961016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 1729961016 is about 41592.8000500087. The cubic root of 1729961016 is about 1200.4537672800.

The spelling of 1729961016 in words is "one billion, seven hundred twenty-nine million, nine hundred sixty-one thousand, sixteen".