1742035968 has 132 divisors (see below), whose sum is σ = 5326457760. Its totient is φ = 546471936.

The previous prime is 1742035963. The next prime is 1742035969. The reversal of 1742035968 is 8695302471.

1742035968 is a `hidden beast` number, since 17 + 42 + 0 + 3 + 596 + 8 = 666.

1742035968 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1742035968 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742035963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151113 + ... + 162231.

It is a 1-persistent number, because it is pandigital, but 2⋅1742035968 = 3484071936 is not.

Almost surely, 2^1742035968 is an apocalyptic number.

1742035968 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 1742035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663228880).

1742035968 is an abundant number, since it is smaller than the sum of its proper divisors (3584421792).

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

1742035968 is a wasteful number, since it uses less digits than its factorization.

1742035968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11162 (or 11141 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1742035968 is about 41737.7043930305. The cubic root of 1742035968 is about 1203.2403091219.

The spelling of 1742035968 in words is "one billion, seven hundred forty-two million, thirty-five thousand, nine hundred sixty-eight".