663216120 has 256 divisors, whose sum is σ = 2595916800. Its totient is φ = 147432960.

The previous prime is 663216119. The next prime is 663216131. The reversal of 663216120 is 21612366.

663216120 is a `hidden beast` number, since 6 + 632 + 1 + 6 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278535 + ... + 280905.

It is an arithmetic number, because the mean of its divisors is an integer number (10140300).

Almost surely, 2^663216120 is an apocalyptic number.

663216120 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 663216120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297958400).

663216120 is an abundant number, since it is smaller than the sum of its proper divisors (1932700680).

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

663216120 is a wasteful number, since it uses less digits than its factorization.

663216120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 663216120 is about 25752.9827398692. The cubic root of 663216120 is about 872.0706918814.

Adding to 663216120 its reverse (21612366), we get a palindrome (684828486).

The spelling of 663216120 in words is "six hundred sixty-three million, two hundred sixteen thousand, one hundred twenty".