663135200 has 144 divisors (see below), whose sum is σ = 1992684960. Its totient is φ = 209848320.

The previous prime is 663135197. The next prime is 663135227. The reversal of 663135200 is 2531366.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 663135200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68246 + ... + 77354.

It is an arithmetic number, because the mean of its divisors is an integer number (13838090).

Almost surely, 2^663135200 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 663135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996342480).

663135200 is an abundant number, since it is smaller than the sum of its proper divisors (1329549760).

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

663135200 is a wasteful number, since it uses less digits than its factorization.

663135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9149 (or 9136 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 663135200 is about 25751.4116117932. The cubic root of 663135200 is about 872.0352228849.

Adding to 663135200 its reverse (2531366), we get a palindrome (665666566).

The spelling of 663135200 in words is "six hundred sixty-three million, one hundred thirty-five thousand, two hundred".