1963200 has 84 divisors (see below), whose sum is σ = 6456680. Its totient is φ = 522240.

The previous prime is 1963193. The next prime is 1963201. The reversal of 1963200 is 23691.

1963200 = T₂₁₅ + T₂₁₆ + ... + T₂₇₈.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1963201) 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, 4596 + ... + 5004.

2^1963200 is an apocalyptic number.

1963200 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 1963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228340).

1963200 is an abundant number, since it is smaller than the sum of its proper divisors (4493480).

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

1963200 is a wasteful number, since it uses less digits than its factorization.

1963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1963200 is about 1401.1423910510. The cubic root of 1963200 is about 125.2145648181.

Adding to 1963200 its reverse (23691), we get a palindrome (1986891).

The spelling of 1963200 in words is "one million, nine hundred sixty-three thousand, two hundred".