63142400 has 60 divisors (see below), whose sum is σ = 156471942. Its totient is φ = 25251840.

The previous prime is 63142397. The next prime is 63142411. The reversal of 63142400 is 424136.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 41165056 + 21977344 = 6416^2 + 4688^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 10334 + ... + 15266.

Almost surely, 2^63142400 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 63142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78235971).

63142400 is an abundant number, since it is smaller than the sum of its proper divisors (93329542).

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

63142400 is an equidigital number, since it uses as much as digits as its factorization.

63142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 63142400 is about 7946.2192267770. The cubic root of 63142400 is about 398.2052929429.

Adding to 63142400 its reverse (424136), we get a palindrome (63566536).

The spelling of 63142400 in words is "sixty-three million, one hundred forty-two thousand, four hundred".