323145120 has 96 divisors (see below), whose sum is σ = 1023865920. Its totient is φ = 85667840.

The previous prime is 323145089. The next prime is 323145131. The reversal of 323145120 is 21541323.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84040 + ... + 87800.

It is an arithmetic number, because the mean of its divisors is an integer number (10665270).

Almost surely, 2^323145120 is an apocalyptic number.

323145120 is a gapful number since it is divisible by the number (30) 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 323145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511932960).

323145120 is an abundant number, since it is smaller than the sum of its proper divisors (700720800).

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

323145120 is a wasteful number, since it uses less digits than its factorization.

323145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 323145120 is about 17976.2376486294. The cubic root of 323145120 is about 686.2239435231.

Adding to 323145120 its reverse (21541323), we get a palindrome (344686443).

The spelling of 323145120 in words is "three hundred twenty-three million, one hundred forty-five thousand, one hundred twenty".