120663648 has 192 divisors, whose sum is σ = 409328640. Its totient is φ = 33868800.

The previous prime is 120663643. The next prime is 120663649. The reversal of 120663648 is 846366021.

120663648 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 6 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120663643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429268 + ... + 429548.

It is an arithmetic number, because the mean of its divisors is an integer number (2131920).

Almost surely, 2^120663648 is an apocalyptic number.

120663648 is a gapful number since it is divisible by the number (18) 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 120663648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204664320).

120663648 is an abundant number, since it is smaller than the sum of its proper divisors (288664992).

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

120663648 is a wasteful number, since it uses less digits than its factorization.

120663648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 120663648 is about 10984.7006331534. The cubic root of 120663648 is about 494.1500197278.

The spelling of 120663648 in words is "one hundred twenty million, six hundred sixty-three thousand, six hundred forty-eight".