1983360 has 64 divisors (see below), whose sum is σ = 6328080. Its totient is φ = 528384.

The previous prime is 1983347. The next prime is 1983361. The reversal of 1983360 is 633891.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1404 + ... + 2436.

2^1983360 is an apocalyptic number.

1983360 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 1983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164040).

1983360 is an abundant number, since it is smaller than the sum of its proper divisors (4344720).

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

1983360 is a wasteful number, since it uses less digits than its factorization.

1983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1983360 is about 1408.3181458747. The cubic root of 1983360 is about 125.6417133279.

The spelling of 1983360 in words is "one million, nine hundred eighty-three thousand, three hundred sixty".