63138360 has 96 divisors (see below), whose sum is σ = 194767920. Its totient is φ = 16373760.

The previous prime is 63138337. The next prime is 63138371. The reversal of 63138360 is 6383136.

63138360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 201564 + ... + 201876.

Almost surely, 2^63138360 is an apocalyptic number.

63138360 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 63138360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97383960).

63138360 is an abundant number, since it is smaller than the sum of its proper divisors (131629560).

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

63138360 is a wasteful number, since it uses less digits than its factorization.

63138360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 63138360 is about 7945.9650137664. The cubic root of 63138360 is about 398.1968000565.

The spelling of 63138360 in words is "sixty-three million, one hundred thirty-eight thousand, three hundred sixty".