63845280 has 96 divisors (see below), whose sum is σ = 223473600. Its totient is φ = 17024256.

The previous prime is 63845261. The next prime is 63845297. The reversal of 63845280 is 8254836.

63845280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3070 + ... + 11709.

It is an arithmetic number, because the mean of its divisors is an integer number (2327850).

Almost surely, 2^63845280 is an apocalyptic number.

63845280 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 63845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111736800).

63845280 is an abundant number, since it is smaller than the sum of its proper divisors (159628320).

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

63845280 is a wasteful number, since it uses less digits than its factorization.

63845280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14803 (or 14789 counting only the distinct ones).

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

The square root of 63845280 is about 7990.3241486188. The cubic root of 63845280 is about 399.6774065703.

It can be divided in two parts, 6384 and 5280, that added together give a square (11664 = 108²).

The spelling of 63845280 in words is "sixty-three million, eight hundred forty-five thousand, two hundred eighty".