63254880 has 288 divisors, whose sum is σ = 242161920. Its totient is φ = 14929920.

The previous prime is 63254861. The next prime is 63254897. The reversal of 63254880 is 8845236.

63254880 is a `hidden beast` number, since 6 + 32 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580266 + ... + 580374.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 2^63254880 is an apocalyptic number.

63254880 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 63254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

63254880 is an abundant number, since it is smaller than the sum of its proper divisors (178907040).

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

63254880 is a wasteful number, since it uses less digits than its factorization.

63254880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 63254880 is about 7953.2936573473. The cubic root of 63254880 is about 398.4416030489.

The spelling of 63254880 in words is "sixty-three million, two hundred fifty-four thousand, eight hundred eighty".