63348864 has 64 divisors (see below), whose sum is σ = 169320000. Its totient is φ = 20984832.

The previous prime is 63348863. The next prime is 63348871. The reversal of 63348864 is 46884336.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (63348863) 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, 76002 + ... + 76830.

It is an arithmetic number, because the mean of its divisors is an integer number (2645625).

Almost surely, 2^63348864 is an apocalyptic number.

63348864 is a gapful number since it is divisible by the number (64) 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 63348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84660000).

63348864 is an abundant number, since it is smaller than the sum of its proper divisors (105971136).

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

63348864 is a wasteful number, since it uses less digits than its factorization.

63348864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1033 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 63348864 is about 7959.1999597950. The cubic root of 63348864 is about 398.6388400295.

The spelling of 63348864 in words is "sixty-three million, three hundred forty-eight thousand, eight hundred sixty-four".