63121320 has 96 divisors (see below), whose sum is σ = 206219520. Its totient is φ = 16744320.

The previous prime is 63121319. The next prime is 63121321. The reversal of 63121320 is 2312136.

63121320 is a `hidden beast` number, since 631 + 2 + 1 + 32 + 0 = 666.

63121320 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 (63121319) and next prime (63121321).

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

It is a junction number, because it is equal to n+sod(n) for n = 63121293 and 63121302.

It is not an unprimeable number, because it can be changed into a prime (63121321) 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 23 ways as a sum of consecutive naturals, for example, 97237 + ... + 97883.

It is an arithmetic number, because the mean of its divisors is an integer number (2148120).

Almost surely, 2^63121320 is an apocalyptic number.

63121320 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 63121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103109760).

63121320 is an abundant number, since it is smaller than the sum of its proper divisors (143098200).

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

63121320 is a wasteful number, since it uses less digits than its factorization.

63121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 928 counting only the distinct ones).

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

The square root of 63121320 is about 7944.8926990866. The cubic root of 63121320 is about 398.1609745880.

Adding to 63121320 its reverse (2312136), we get a palindrome (65433456).

The spelling of 63121320 in words is "sixty-three million, one hundred twenty-one thousand, three hundred twenty".