1901200 has 90 divisors (see below), whose sum is σ = 5368146. Its totient is φ = 645120.

The previous prime is 1901191. The next prime is 1901201. The reversal of 1901200 is 21091.

It can be written as a sum of positive squares in 3 ways, for example, as 94864 + 1806336 = 308^2 + 1344^2 .

It is a super-2 number, since 2×1901200² = 7229122880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1901201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19552 + ... + 19648.

2^1901200 is an apocalyptic number.

1901200 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 1901200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684073).

1901200 is an abundant number, since it is smaller than the sum of its proper divisors (3466946).

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

1901200 is a wasteful number, since it uses less digits than its factorization.

1901200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1901200 is about 1378.8400922515. The cubic root of 1901200 is about 123.8823024719.

Adding to 1901200 its reverse (21091), we get a palindrome (1922291).

The spelling of 1901200 in words is "one million, nine hundred one thousand, two hundred".