63131200 has 168 divisors, whose sum is σ = 180283104. Its totient is φ = 21504000.

The previous prime is 63131147. The next prime is 63131249. The reversal of 63131200 is 213136.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 299095 + ... + 299305.

Almost surely, 2^63131200 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 63131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90141552).

63131200 is an abundant number, since it is smaller than the sum of its proper divisors (117151904).

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

63131200 is a wasteful number, since it uses less digits than its factorization.

63131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 63131200 is about 7945.5144578561. The cubic root of 63131200 is about 398.1817474172.

Adding to 63131200 its reverse (213136), we get a palindrome (63344336).

The spelling of 63131200 in words is "sixty-three million, one hundred thirty-one thousand, two hundred".