1985568 has 96 divisors (see below), whose sum is σ = 5898816. Its totient is φ = 580608.

The previous prime is 1985561. The next prime is 1985573. The reversal of 1985568 is 8655891.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1985561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46155 + ... + 46197.

It is an arithmetic number, because the mean of its divisors is an integer number (61446).

2^1985568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949408).

1985568 is an abundant number, since it is smaller than the sum of its proper divisors (3913248).

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

1985568 is a wasteful number, since it uses less digits than its factorization.

1985568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its digits is 86400, while the sum is 42.

The square root of 1985568 is about 1409.1018415998. The cubic root of 1985568 is about 125.6883200997.

The spelling of 1985568 in words is "one million, nine hundred eighty-five thousand, five hundred sixty-eight".