63048000 has 224 divisors, whose sum is σ = 216822528. Its totient is φ = 16128000.

The previous prime is 63047993. The next prime is 63048043. The reversal of 63048000 is 84036.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887965 + ... + 888035.

Almost surely, 2^63048000 is an apocalyptic number.

63048000 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 63048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108411264).

63048000 is an abundant number, since it is smaller than the sum of its proper divisors (153774528).

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

63048000 is a wasteful number, since it uses less digits than its factorization.

63048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 63048000 is about 7940.2770732513. The cubic root of 63048000 is about 398.0067505568.

The spelling of 63048000 in words is "sixty-three million, forty-eight thousand".