1982880 has 168 divisors, whose sum is σ = 7436772. Its totient is φ = 497664.

The previous prime is 1982879. The next prime is 1982881. The reversal of 1982880 is 882891.

It is an interprime number because it is at equal distance from previous prime (1982879) and next prime (1982881).

It can be written as a sum of positive squares in 2 ways, for example, as 1971216 + 11664 = 1404^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1982881) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116632 + ... + 116648.

2^1982880 is an apocalyptic number.

1982880 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 1982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718386).

1982880 is an abundant number, since it is smaller than the sum of its proper divisors (5453892).

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

1982880 is an equidigital number, since it uses as much as digits as its factorization.

1982880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1982880 is about 1408.1477195238. The cubic root of 1982880 is about 125.6315768444.

The spelling of 1982880 in words is "one million, nine hundred eighty-two thousand, eight hundred eighty".