1921200 has 60 divisors (see below), whose sum is σ = 6158088. Its totient is φ = 512000.

The previous prime is 1921181. The next prime is 1921211. The reversal of 1921200 is 21291.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 1921200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400 + ... + 2000.

2^1921200 is an apocalyptic number.

1921200 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 1921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079044).

1921200 is an abundant number, since it is smaller than the sum of its proper divisors (4236888).

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

1921200 is a wasteful number, since it uses less digits than its factorization.

1921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1921200 is about 1386.0735911199. The cubic root of 1921200 is about 124.3151884497.

Adding to 1921200 its reverse (21291), we get a palindrome (1942491).

It can be divided in two parts, 192 and 1200, that multiplied together give a square (230400 = 480²).

The spelling of 1921200 in words is "one million, nine hundred twenty-one thousand, two hundred".