1785666960 has 480 divisors, whose sum is σ = 7725219840. Its totient is φ = 358732800.

The previous prime is 1785666917. The next prime is 1785667021. The reversal of 1785666960 is 696665871.

It is a junction number, because it is equal to n+sod(n) for n = 1785666897 and 1785666906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1718121 + ... + 1719159.

It is an arithmetic number, because the mean of its divisors is an integer number (16094208).

Almost surely, 2^1785666960 is an apocalyptic number.

1785666960 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 1785666960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862609920).

1785666960 is an abundant number, since it is smaller than the sum of its proper divisors (5939552880).

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

1785666960 is a wasteful number, since it uses less digits than its factorization.

1785666960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 1785666960 is about 42257.1527673127. The cubic root of 1785666960 is about 1213.2030338146.

The spelling of 1785666960 in words is "one billion, seven hundred eighty-five million, six hundred sixty-six thousand, nine hundred sixty".