120588948 has 72 divisors (see below), whose sum is σ = 313808040. Its totient is φ = 39029760.

The previous prime is 120588911. The next prime is 120588959. The reversal of 120588948 is 849885021.

It is a happy number.

120588948 is a `hidden beast` number, since 1 + 20 + 588 + 9 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16793604 + 103795344 = 4098^2 + 10188^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195136 + ... + 195752.

It is an arithmetic number, because the mean of its divisors is an integer number (4358445).

Almost surely, 2^120588948 is an apocalyptic number.

120588948 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 120588948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156904020).

120588948 is an abundant number, since it is smaller than the sum of its proper divisors (193219092).

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

120588948 is a wasteful number, since it uses less digits than its factorization.

120588948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 120588948 is about 10981.2999230510. The cubic root of 120588948 is about 494.0480264955.

The spelling of 120588948 in words is "one hundred twenty million, five hundred eighty-eight thousand, nine hundred forty-eight".