1985880 has 128 divisors (see below), whose sum is σ = 6854400. Its totient is φ = 456192.

The previous prime is 1985873. The next prime is 1985887. The reversal of 1985880 is 885891.

It is an interprime number because it is at equal distance from previous prime (1985873) and next prime (1985887).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985887) by changing a digit.

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, 29607 + ... + 29673.

It is an arithmetic number, because the mean of its divisors is an integer number (53550).

2^1985880 is an apocalyptic number.

1985880 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 1985880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427200).

1985880 is an abundant number, since it is smaller than the sum of its proper divisors (4868520).

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

1985880 is a wasteful number, since it uses less digits than its factorization.

1985880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 1985880 is about 1409.2125460696. The cubic root of 1985880 is about 125.6949030527.

The spelling of 1985880 in words is "one million, nine hundred eighty-five thousand, eight hundred eighty".