1980900 has 108 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 504000.

The previous prime is 1980899. The next prime is 1980907. The reversal of 1980900 is 90891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27865 + ... + 27935.

2^1980900 is an apocalyptic number.

1980900 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 1980900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).

1980900 is an abundant number, since it is smaller than the sum of its proper divisors (4518684).

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

1980900 is a wasteful number, since it uses less digits than its factorization.

1980900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1980900 is about 1407.4444926888. Note that the first 4 decimals coincide. The cubic root of 1980900 is about 125.5897465496.

The spelling of 1980900 in words is "one million, nine hundred eighty thousand, nine hundred".