63129088 has 60 divisors (see below), whose sum is σ = 138780180. Its totient is φ = 28666880.

The previous prime is 63129071. The next prime is 63129103. The reversal of 63129088 is 88092136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61443 + ... + 62461.

It is an arithmetic number, because the mean of its divisors is an integer number (2313003).

Almost surely, 2^63129088 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 63129088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69390090).

63129088 is an abundant number, since it is smaller than the sum of its proper divisors (75651092).

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

63129088 is a wasteful number, since it uses less digits than its factorization.

63129088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 63129088 is about 7945.3815515682. The cubic root of 63129088 is about 398.1773070918.

It can be divided in two parts, 6312 and 9088, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 63129088 in words is "sixty-three million, one hundred twenty-nine thousand, eighty-eight".