63448000 has 224 divisors, whose sum is σ = 197803008. Its totient is φ = 19584000.

The previous prime is 63447983. The next prime is 63448009. The reversal of 63448000 is 84436.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63448009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615949 + ... + 616051.

Almost surely, 2^63448000 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 63448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98901504).

63448000 is an abundant number, since it is smaller than the sum of its proper divisors (134355008).

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

63448000 is a wasteful number, since it uses less digits than its factorization.

63448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 63448000 is about 7965.4252868256. The cubic root of 63448000 is about 398.8466778159.

The spelling of 63448000 in words is "sixty-three million, four hundred forty-eight thousand".