120946176 has 160 divisors (see below), whose sum is σ = 386121120. Its totient is φ = 37158912.

The previous prime is 120946171. The next prime is 120946201. The reversal of 120946176 is 671649021.

120946176 is a `hidden beast` number, since 120 + 9 + 461 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120946176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120946171) 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 15 ways as a sum of consecutive naturals, for example, 179376 + ... + 180048.

It is an arithmetic number, because the mean of its divisors is an integer number (2413257).

Almost surely, 2^120946176 is an apocalyptic number.

120946176 is a gapful number since it is divisible by the number (16) 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 120946176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193060560).

120946176 is an abundant number, since it is smaller than the sum of its proper divisors (265174944).

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

120946176 is an equidigital number, since it uses as much as digits as its factorization.

120946176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 120946176 is about 10997.5531824129. The cubic root of 120946176 is about 494.5353950979.

The spelling of 120946176 in words is "one hundred twenty million, nine hundred forty-six thousand, one hundred seventy-six".