63126400 has 48 divisors (see below), whose sum is σ = 155949840. Its totient is φ = 25249280.

The previous prime is 63126391. The next prime is 63126407. The reversal of 63126400 is 462136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63126407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6664 + ... + 13063.

It is an arithmetic number, because the mean of its divisors is an integer number (3248955).

Almost surely, 2^63126400 is an apocalyptic number.

It is an amenable number.

63126400 is an abundant number, since it is smaller than the sum of its proper divisors (92823440).

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

63126400 is a wasteful number, since it uses less digits than its factorization.

63126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19751 (or 19734 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 63126400 is about 7945.2123948954. The cubic root of 63126400 is about 398.1716556252.

Adding to 63126400 its reverse (462136), we get a palindrome (63588536).

The spelling of 63126400 in words is "sixty-three million, one hundred twenty-six thousand, four hundred".