63048384 has 168 divisors, whose sum is σ = 217667840. Its totient is φ = 17044992.

The previous prime is 63048383. The next prime is 63048397. The reversal of 63048384 is 48384036.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×63048384² = 7950197450022912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63048383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76197 + ... + 77019.

Almost surely, 2^63048384 is an apocalyptic number.

63048384 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 63048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108833920).

63048384 is an abundant number, since it is smaller than the sum of its proper divisors (154619456).

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

63048384 is a wasteful number, since it uses less digits than its factorization.

63048384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 63048384 is about 7940.3012537309. The cubic root of 63048384 is about 398.0075585881.

The spelling of 63048384 in words is "sixty-three million, forty-eight thousand, three hundred eighty-four".