120838176 has 192 divisors, whose sum is σ = 393724800. Its totient is φ = 35831808.

The previous prime is 120838171. The next prime is 120838183. The reversal of 120838176 is 671838021.

120838176 is a `hidden beast` number, since 1 + 208 + 381 + 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 120838176.

It is not an unprimeable number, because it can be changed into a prime (120838171) 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, 278856 + ... + 279288.

It is an arithmetic number, because the mean of its divisors is an integer number (2050650).

Almost surely, 2^120838176 is an apocalyptic number.

120838176 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 120838176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

120838176 is an abundant number, since it is smaller than the sum of its proper divisors (272886624).

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

120838176 is a wasteful number, since it uses less digits than its factorization.

120838176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 120838176 is about 10992.6419026547. The cubic root of 120838176 is about 494.3881512855.

The spelling of 120838176 in words is "one hundred twenty million, eight hundred thirty-eight thousand, one hundred seventy-six".