1063141200 has 600 divisors, whose sum is σ = 4409375520. Its totient is φ = 242611200.

The previous prime is 1063141171. The next prime is 1063141207. The reversal of 1063141200 is 21413601.

It is a happy number.

1063141200 is a `hidden beast` number, since 10 + 631 + 4 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×1063141200² = 2260538422274880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063141207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6771522 + ... + 6771678.

Almost surely, 2^1063141200 is an apocalyptic number.

1063141200 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 1063141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204687760).

1063141200 is an abundant number, since it is smaller than the sum of its proper divisors (3346234320).

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

1063141200 is a wasteful number, since it uses less digits than its factorization.

1063141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1063141200 is about 32605.8461015812. The cubic root of 1063141200 is about 1020.6190014369.

Adding to 1063141200 its reverse (21413601), we get a palindrome (1084554801).

The spelling of 1063141200 in words is "one billion, sixty-three million, one hundred forty-one thousand, two hundred".