1985760 has 144 divisors (see below), whose sum is σ = 7783776. Its totient is φ = 451584.

The previous prime is 1985759. The next prime is 1985771. The reversal of 1985760 is 675891.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9982 + ... + 10178.

It is an arithmetic number, because the mean of its divisors is an integer number (54054).

2^1985760 is an apocalyptic number.

1985760 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 1985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891888).

1985760 is an abundant number, since it is smaller than the sum of its proper divisors (5798016).

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

1985760 is a wasteful number, since it uses less digits than its factorization.

1985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1985760 is about 1409.1699684566. The cubic root of 1985760 is about 125.6923712293.

The spelling of 1985760 in words is "one million, nine hundred eighty-five thousand, seven hundred sixty".