120648528 has 480 divisors, whose sum is σ = 485302272. Its totient is φ = 27993600.

The previous prime is 120648509. The next prime is 120648529. The reversal of 120648528 is 825846021.

120648528 is a `hidden beast` number, since 1 + 2 + 0 + 648 + 5 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120648492 and 120648501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120648529) 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 95 ways as a sum of consecutive naturals, for example, 3891873 + ... + 3891903.

Almost surely, 2^120648528 is an apocalyptic number.

120648528 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 120648528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242651136).

120648528 is an abundant number, since it is smaller than the sum of its proper divisors (364653744).

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

120648528 is a wasteful number, since it uses less digits than its factorization.

120648528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 120648528 is about 10984.0123816391. The cubic root of 120648528 is about 494.1293787131.

The spelling of 120648528 in words is "one hundred twenty million, six hundred forty-eight thousand, five hundred twenty-eight".