1734198768 has 80 divisors (see below), whose sum is σ = 5059472800. Its totient is φ = 568581120.

The previous prime is 1734198703. The next prime is 1734198779. The reversal of 1734198768 is 8678914371.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6553 + ... + 59256.

It is an arithmetic number, because the mean of its divisors is an integer number (63243410).

Almost surely, 2^1734198768 is an apocalyptic number.

1734198768 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 1734198768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529736400).

1734198768 is an abundant number, since it is smaller than the sum of its proper divisors (3325274032).

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

1734198768 is a wasteful number, since it uses less digits than its factorization.

1734198768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65887 (or 65875 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 1734198768 is about 41643.7122264574. The cubic root of 1734198768 is about 1201.4331876296.

The spelling of 1734198768 in words is "one billion, seven hundred thirty-four million, one hundred ninety-eight thousand, seven hundred sixty-eight".