1981200 has 120 divisors (see below), whose sum is σ = 6888448. Its totient is φ = 483840.

The previous prime is 1981181. The next prime is 1981201. The reversal of 1981200 is 21891.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1981201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15537 + ... + 15663.

2^1981200 is an apocalyptic number.

1981200 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 1981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444224).

1981200 is an abundant number, since it is smaller than the sum of its proper divisors (4907248).

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

1981200 is a wasteful number, since it uses less digits than its factorization.

1981200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 1981200 is about 1407.5510647930. The cubic root of 1981200 is about 125.5960862642.

The spelling of 1981200 in words is "one million, nine hundred eighty-one thousand, two hundred".