63126900 has 54 divisors (see below), whose sum is σ = 197870582. Its totient is φ = 16833600.

The previous prime is 63126863. The next prime is 63126907. The reversal of 63126900 is 962136.

It is a happy number.

63126900 is a `hidden beast` number, since 631 + 26 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7683984 + 55442916 = 2772^2 + 7446^2 .

It is a super-2 number, since 2×63126900² = 7970011007220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63126907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34171 + ... + 35970.

Almost surely, 2^63126900 is an apocalyptic number.

63126900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63126900 is an abundant number, since it is smaller than the sum of its proper divisors (134743682).

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

63126900 is a wasteful number, since it uses less digits than its factorization.

63126900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70161 (or 70151 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 63126900 is about 7945.2438603230. The cubic root of 63126900 is about 398.1727068774.

The spelling of 63126900 in words is "sixty-three million, one hundred twenty-six thousand, nine hundred".