1742071960 has 64 divisors (see below), whose sum is σ = 4054639680. Its totient is φ = 673167360.

The previous prime is 1742071951. The next prime is 1742071973. The reversal of 1742071960 is 691702471.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163764 + ... + 174076.

It is an arithmetic number, because the mean of its divisors is an integer number (63353745).

Almost surely, 2^1742071960 is an apocalyptic number.

1742071960 is a gapful number since it is divisible by the number (10) 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 1742071960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027319840).

1742071960 is an abundant number, since it is smaller than the sum of its proper divisors (2312567720).

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

1742071960 is a wasteful number, since it uses less digits than its factorization.

1742071960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10468 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 1742071960 is about 41738.1355597013. The cubic root of 1742071960 is about 1203.2485957336.

The spelling of 1742071960 in words is "one billion, seven hundred forty-two million, seventy-one thousand, nine hundred sixty".