63029120 has 128 divisors (see below), whose sum is σ = 188006400. Its totient is φ = 19630080.

The previous prime is 63029119. The next prime is 63029129. The reversal of 63029120 is 2192036.

63029120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63029129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48641 + ... + 49919.

It is an arithmetic number, because the mean of its divisors is an integer number (1468800).

Almost surely, 2^63029120 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 63029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94003200).

63029120 is an abundant number, since it is smaller than the sum of its proper divisors (124977280).

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

63029120 is a wasteful number, since it uses less digits than its factorization.

63029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 63029120 is about 7939.0881088447. The cubic root of 63029120 is about 397.9670183018.

The spelling of 63029120 in words is "sixty-three million, twenty-nine thousand, one hundred twenty".