1982080 has 64 divisors (see below), whose sum is σ = 5018400. Its totient is φ = 746496.

The previous prime is 1982077. The next prime is 1982083. The reversal of 1982080 is 802891.

It is an interprime number because it is at equal distance from previous prime (1982077) and next prime (1982083).

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

It is a super-2 number, since 2×1982080² = 7857282252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982083) 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, 12079 + ... + 12241.

2^1982080 is an apocalyptic number.

1982080 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 1982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509200).

1982080 is an abundant number, since it is smaller than the sum of its proper divisors (3036320).

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

1982080 is a wasteful number, since it uses less digits than its factorization.

1982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1982080 is about 1407.8636297596. The cubic root of 1982080 is about 125.6146790693.

It can be divided in two parts, 19820 and 80, that added together give a triangular number (19900 = T₁₉₉).

The spelling of 1982080 in words is "one million, nine hundred eighty-two thousand, eighty".