963200 has 96 divisors (see below), whose sum is σ = 2782560. Its totient is φ = 322560.

The previous prime is 963191. The next prime is 963211. The reversal of 963200 is 2369.

It is a happy number.

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

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 963200.

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, 22379 + ... + 22421.

It is an arithmetic number, because the mean of its divisors is an integer number (28985).

2⁹⁶³²⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391280).

963200 is an abundant number, since it is smaller than the sum of its proper divisors (1819360).

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

963200 is a wasteful number, since it uses less digits than its factorization.

963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 963200 is about 981.4275317108. The cubic root of 963200 is about 98.7579708355.

Adding to 963200 its reverse (2369), we get a palindrome (965569).

The spelling of 963200 in words is "nine hundred sixty-three thousand, two hundred".