63129312 has 72 divisors (see below), whose sum is σ = 181261080. Its totient is φ = 20839680.

The previous prime is 63129281. The next prime is 63129329. The reversal of 63129312 is 21392136.

63129312 is a `hidden beast` number, since 631 + 29 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30387 + ... + 32397.

It is an arithmetic number, because the mean of its divisors is an integer number (2517515).

Almost surely, 2^63129312 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 63129312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90630540).

63129312 is an abundant number, since it is smaller than the sum of its proper divisors (118131768).

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

63129312 is a wasteful number, since it uses less digits than its factorization.

63129312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2125 counting only the distinct ones).

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

The square root of 63129312 is about 7945.3956477950. The cubic root of 63129312 is about 398.1777780401.

The spelling of 63129312 in words is "sixty-three million, one hundred twenty-nine thousand, three hundred twelve".