63287280 has 240 divisors, whose sum is σ = 251858880. Its totient is φ = 13934592.

The previous prime is 63287269. The next prime is 63287281. The reversal of 63287280 is 8278236.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 (63287281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145944 + ... + 146376.

It is an arithmetic number, because the mean of its divisors is an integer number (1049412).

Almost surely, 2^63287280 is an apocalyptic number.

63287280 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 63287280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125929440).

63287280 is an abundant number, since it is smaller than the sum of its proper divisors (188571600).

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

63287280 is a wasteful number, since it uses less digits than its factorization.

63287280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 63287280 is about 7955.3302885550. The cubic root of 63287280 is about 398.5096204858.

The spelling of 63287280 in words is "sixty-three million, two hundred eighty-seven thousand, two hundred eighty".