63321120 has 72 divisors (see below), whose sum is σ = 216088236. Its totient is φ = 16885248.

The previous prime is 63321113. The next prime is 63321121. The reversal of 63321120 is 2112336.

63321120 is a `hidden beast` number, since 633 + 2 + 11 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62916624 + 404496 = 7932^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 63321093 and 63321102.

It is not an unprimeable number, because it can be changed into a prime (63321121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20547 + ... + 23426.

Almost surely, 2^63321120 is an apocalyptic number.

63321120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63321120 is an abundant number, since it is smaller than the sum of its proper divisors (152767116).

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

63321120 is a wasteful number, since it uses less digits than its factorization.

63321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43994 (or 43983 counting only the distinct ones).

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

The square root of 63321120 is about 7957.4568801848. The cubic root of 63321120 is about 398.5806361394.

Adding to 63321120 its reverse (2112336), we get a palindrome (65433456).

The spelling of 63321120 in words is "sixty-three million, three hundred twenty-one thousand, one hundred twenty".