120948608 has 128 divisors (see below), whose sum is σ = 289059840. Its totient is φ = 49766400.

The previous prime is 120948599. The next prime is 120948629. The reversal of 120948608 is 806849021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741935 + ... + 742097.

It is an arithmetic number, because the mean of its divisors is an integer number (2258280).

Almost surely, 2^120948608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120948608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144529920).

120948608 is an abundant number, since it is smaller than the sum of its proper divisors (168111232).

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

120948608 is a wasteful number, since it uses less digits than its factorization.

120948608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 120948608 is about 10997.6637519066. The cubic root of 120948608 is about 494.5387098011.

It can be divided in two parts, 12094 and 8608, that added together give a palindrome (20702).

The spelling of 120948608 in words is "one hundred twenty million, nine hundred forty-eight thousand, six hundred eight".