663126120 has 96 divisors (see below), whose sum is σ = 2190562920. Its totient is φ = 173928960.

The previous prime is 663126119. The next prime is 663126137. The reversal of 663126120 is 21621366.

663126120 is a `hidden beast` number, since 6 + 631 + 2 + 6 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 262245636 + 400880484 = 16194^2 + 20022^2 .

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, 6862 + ... + 37058.

Almost surely, 2^663126120 is an apocalyptic number.

663126120 is a gapful number since it is divisible by the number (60) 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 663126120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095281460).

663126120 is an abundant number, since it is smaller than the sum of its proper divisors (1527436800).

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

663126120 is a wasteful number, since it uses less digits than its factorization.

663126120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30275 (or 30268 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 663126120 is about 25751.2353101749. The cubic root of 663126120 is about 872.0312427433.

Adding to 663126120 its reverse (21621366), we get a palindrome (684747486).

The spelling of 663126120 in words is "six hundred sixty-three million, one hundred twenty-six thousand, one hundred twenty".