32345120 has 48 divisors (see below), whose sum is σ = 77134680. Its totient is φ = 12816384.

The previous prime is 32345119. The next prime is 32345123. The reversal of 32345120 is 2154323.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24482704 + 7862416 = 4948^2 + 2804^2 .

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 = 32345092 and 32345101.

It is not an unprimeable number, because it can be changed into a prime (32345123) 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 7 ways as a sum of consecutive naturals, for example, 17186 + ... + 18974.

Almost surely, 2^32345120 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 32345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38567340).

32345120 is an abundant number, since it is smaller than the sum of its proper divisors (44789560).

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

32345120 is a wasteful number, since it uses less digits than its factorization.

32345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 32345120 is about 5687.2770285964. The cubic root of 32345120 is about 318.6174730370.

Adding to 32345120 its reverse (2154323), we get a palindrome (34499443).

The spelling of 32345120 in words is "thirty-two million, three hundred forty-five thousand, one hundred twenty".