355601120 has 96 divisors (see below), whose sum is σ = 972518400. Its totient is φ = 120347136.

The previous prime is 355601119. The next prime is 355601153. The reversal of 355601120 is 21106553.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 86471 + ... + 90489.

It is an arithmetic number, because the mean of its divisors is an integer number (10130400).

Almost surely, 2^355601120 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 355601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486259200).

355601120 is an abundant number, since it is smaller than the sum of its proper divisors (616917280).

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

355601120 is a wasteful number, since it uses less digits than its factorization.

355601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 355601120 is about 18857.3890027225. The cubic root of 355601120 is about 708.4693069837.

Adding to 355601120 its reverse (21106553), we get a palindrome (376707673).

The spelling of 355601120 in words is "three hundred fifty-five million, six hundred one thousand, one hundred twenty".