63002016 has 192 divisors, whose sum is σ = 229340160. Its totient is φ = 16346880.

The previous prime is 63002011. The next prime is 63002021. The reversal of 63002016 is 61020036.

It is a happy number.

63002016 is a `hidden beast` number, since 630 + 0 + 20 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (63002011) and next prime (63002021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 63002016.

It is not an unprimeable number, because it can be changed into a prime (63002011) 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 31 ways as a sum of consecutive naturals, for example, 66055 + ... + 67001.

It is an arithmetic number, because the mean of its divisors is an integer number (1194480).

Almost surely, 2^63002016 is an apocalyptic number.

63002016 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 63002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114670080).

63002016 is an abundant number, since it is smaller than the sum of its proper divisors (166338144).

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

63002016 is a wasteful number, since it uses less digits than its factorization.

63002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 63002016 is about 7937.3809282408. The cubic root of 63002016 is about 397.9099650721.

It can be divided in two parts, 630020 and 16, that added together give a palindrome (630036).

The spelling of 63002016 in words is "sixty-three million, two thousand, sixteen".