1971200 has 132 divisors (see below), whose sum is σ = 6091872. Its totient is φ = 614400.

The previous prime is 1971199. The next prime is 1971209. The reversal of 1971200 is 21791.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1971209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179195 + ... + 179205.

2^1971200 is an apocalyptic number.

1971200 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 1971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045936).

1971200 is an abundant number, since it is smaller than the sum of its proper divisors (4120672).

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

1971200 is a wasteful number, since it uses less digits than its factorization.

1971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 1971200 is about 1403.9943019827. The cubic root of 1971200 is about 125.3844165793.

Adding to 1971200 its reverse (21791), we get a palindrome (1992991).

The spelling of 1971200 in words is "one million, nine hundred seventy-one thousand, two hundred".