353060120 has 128 divisors (see below), whose sum is σ = 961597440. Its totient is φ = 114048000.

The previous prime is 353060117. The next prime is 353060129. The reversal of 353060120 is 21060353.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 353060092 and 353060101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353060129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469745 + ... + 470495.

It is an arithmetic number, because the mean of its divisors is an integer number (7512480).

Almost surely, 2^353060120 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 353060120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480798720).

353060120 is an abundant number, since it is smaller than the sum of its proper divisors (608537320).

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

353060120 is a wasteful number, since it uses less digits than its factorization.

353060120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 353060120 is about 18789.8940923040. The cubic root of 353060120 is about 706.7777810721. Note that the first 4 decimals are identical.

The spelling of 353060120 in words is "three hundred fifty-three million, sixty thousand, one hundred twenty".