983820 has 48 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 248256.

The previous prime is 983819. The next prime is 983849. The reversal of 983820 is 28389.

983820 = 51² + 52² + ... + 145².

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709 + ... + 1571.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

2⁹⁸³⁸²⁰ 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 983820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

983820 is an abundant number, since it is smaller than the sum of its proper divisors (1919220).

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

983820 is a wasteful number, since it uses less digits than its factorization.

983820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 983820 is about 991.8770085046. The cubic root of 983820 is about 99.4577314299.

The spelling of 983820 in words is "nine hundred eighty-three thousand, eight hundred twenty".