63120618 has 72 divisors (see below), whose sum is σ = 152767524. Its totient is φ = 18817920.

The previous prime is 63120613. The next prime is 63120623. The reversal of 63120618 is 81602136.

63120618 is a `hidden beast` number, since 631 + 20 + 6 + 1 + 8 = 666.

63120618 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63120613) and next prime (63120623).

It can be written as a sum of positive squares in 2 ways, for example, as 62204769 + 915849 = 7887^2 + 957^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 63120591 and 63120600.

It is not an unprimeable number, because it can be changed into a prime (63120613) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 158796 + ... + 159192.

Almost surely, 2^63120618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63120618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76383762).

63120618 is an abundant number, since it is smaller than the sum of its proper divisors (89646906).

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

63120618 is a wasteful number, since it uses less digits than its factorization.

63120618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 63120618 is about 7944.8485196384. The cubic root of 63120618 is about 398.1594985414.

The spelling of 63120618 in words is "sixty-three million, one hundred twenty thousand, six hundred eighteen".