1745760096 has 144 divisors (see below), whose sum is σ = 5256210960. Its totient is φ = 548674560.

The previous prime is 1745760083. The next prime is 1745760097. The reversal of 1745760096 is 6900675471.

It is a happy number.

1745760096 is a `hidden beast` number, since 1 + 74 + 576 + 0 + 0 + 9 + 6 = 666.

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 (1745760097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356706 + ... + 361566.

It is an arithmetic number, because the mean of its divisors is an integer number (36501465).

Almost surely, 2^1745760096 is an apocalyptic number.

1745760096 is a gapful number since it is divisible by the number (16) 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 1745760096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628105480).

1745760096 is an abundant number, since it is smaller than the sum of its proper divisors (3510450864).

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

1745760096 is a wasteful number, since it uses less digits than its factorization.

1745760096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 1745760096 is about 41782.2940490347. The cubic root of 1745760096 is about 1204.0971286933.

The spelling of 1745760096 in words is "one billion, seven hundred forty-five million, seven hundred sixty thousand, ninety-six".