63088032 has 96 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 17906688.

The previous prime is 63088031. The next prime is 63088049. The reversal of 63088032 is 23088036.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (63088031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 180594 + ... + 180942.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 2^63088032 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 63088032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256000).

63088032 is an abundant number, since it is smaller than the sum of its proper divisors (127423968).

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

63088032 is a wasteful number, since it uses less digits than its factorization.

63088032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 63088032 is about 7942.7974920679. The cubic root of 63088032 is about 398.0909701738.

The spelling of 63088032 in words is "sixty-three million, eighty-eight thousand, thirty-two".