63279216 has 240 divisors, whose sum is σ = 238318080. Its totient is φ = 15137280.

The previous prime is 63279197. The next prime is 63279217. The reversal of 63279216 is 61297236.

63279216 is a `hidden beast` number, since 632 + 7 + 9 + 2 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63279217) by changing a digit.

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, 143925 + ... + 144363.

It is an arithmetic number, because the mean of its divisors is an integer number (992992).

Almost surely, 2^63279216 is an apocalyptic number.

63279216 is a gapful number since it is divisible by the number (66) 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 63279216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159040).

63279216 is an abundant number, since it is smaller than the sum of its proper divisors (175038864).

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

63279216 is a wasteful number, since it uses less digits than its factorization.

63279216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 475 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 63279216 is about 7954.8234424153. The cubic root of 63279216 is about 398.4926938717.

The spelling of 63279216 in words is "sixty-three million, two hundred seventy-nine thousand, two hundred sixteen".