63438016 has 56 divisors (see below), whose sum is σ = 134416800. Its totient is φ = 29601792.

The previous prime is 63438013. The next prime is 63438019. The reversal of 63438016 is 61083436.

It is an interprime number because it is at equal distance from previous prime (63438013) and next prime (63438019).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (63438013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216366 + ... + 216658.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300).

Almost surely, 2^63438016 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 63438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67208400).

63438016 is an abundant number, since it is smaller than the sum of its proper divisors (70978784).

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

63438016 is a wasteful number, since it uses less digits than its factorization.

63438016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 63438016 is about 7964.7985536359. The cubic root of 63438016 is about 398.8257562522.

The spelling of 63438016 in words is "sixty-three million, four hundred thirty-eight thousand, sixteen".