1896200 has 48 divisors (see below), whose sum is σ = 4650000. Its totient is φ = 717120.

The previous prime is 1896199. The next prime is 1896203. The reversal of 1896200 is 26981.

It is a self number, because there is not a number n which added to its sum of digits gives 1896200.

It is not an unprimeable number, because it can be changed into a prime (1896203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3551 + ... + 4049.

It is an arithmetic number, because the mean of its divisors is an integer number (96875).

2^1896200 is an apocalyptic number.

1896200 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 1896200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325000).

1896200 is an abundant number, since it is smaller than the sum of its proper divisors (2753800).

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

1896200 is a wasteful number, since it uses less digits than its factorization.

1896200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1896200 is about 1377.0257804413. The cubic root of 1896200 is about 123.7736070326.

The spelling of 1896200 in words is "one million, eight hundred ninety-six thousand, two hundred".