63134400 has 168 divisors, whose sum is σ = 236849920. Its totient is φ = 14423040.

The previous prime is 63134399. The next prime is 63134419. The reversal of 63134400 is 443136.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32661 + ... + 34539.

Almost surely, 2^63134400 is an apocalyptic number.

63134400 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 63134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118424960).

63134400 is an abundant number, since it is smaller than the sum of its proper divisors (173715520).

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

63134400 is a wasteful number, since it uses less digits than its factorization.

63134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 63134400 is about 7945.7158267836. The cubic root of 63134400 is about 398.1884749944.

Adding to 63134400 its reverse (443136), we get a palindrome (63577536).

The spelling of 63134400 in words is "sixty-three million, one hundred thirty-four thousand, four hundred".