1745716560 has 160 divisors (see below), whose sum is σ = 6453872640. Its totient is φ = 381663744.

The previous prime is 1745716559. The next prime is 1745716591. The reversal of 1745716560 is 656175471.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16051 + ... + 61229.

It is an arithmetic number, because the mean of its divisors is an integer number (40336704).

Almost surely, 2^1745716560 is an apocalyptic number.

1745716560 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 1745716560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226936320).

1745716560 is an abundant number, since it is smaller than the sum of its proper divisors (4708156080).

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

1745716560 is a wasteful number, since it uses less digits than its factorization.

1745716560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45225 (or 45219 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 1745716560 is about 41781.7730595531. The cubic root of 1745716560 is about 1204.0871192980.

The spelling of 1745716560 in words is "one billion, seven hundred forty-five million, seven hundred sixteen thousand, five hundred sixty".