1985920 has 64 divisors (see below), whose sum is σ = 4957200. Its totient is φ = 759808.

The previous prime is 1985903. The next prime is 1985939. The reversal of 1985920 is 295891.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 1 + 9 + 8 + 5⁹ + 9 + 2¹⁵ + 0 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18507 + ... + 18613.

2^1985920 is an apocalyptic number.

1985920 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 1985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478600).

1985920 is an abundant number, since it is smaller than the sum of its proper divisors (2971280).

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

1985920 is a wasteful number, since it uses less digits than its factorization.

1985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 1985920 is about 1409.2267383214. The cubic root of 1985920 is about 125.6957469711.

The spelling of 1985920 in words is "one million, nine hundred eighty-five thousand, nine hundred twenty".