32325120 has 240 divisors, whose sum is σ = 118733472. Its totient is φ = 8110080.

The previous prime is 32325107. The next prime is 32325127. The reversal of 32325120 is 2152323.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32325093 and 32325102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32325127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529890 + ... + 529950.

Almost surely, 2^32325120 is an apocalyptic number.

32325120 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 32325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59366736).

32325120 is an abundant number, since it is smaller than the sum of its proper divisors (86408352).

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

32325120 is a wasteful number, since it uses less digits than its factorization.

32325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 32325120 is about 5685.5184460170. The cubic root of 32325120 is about 318.5517891119.

Adding to 32325120 its reverse (2152323), we get a palindrome (34477443).

The spelling of 32325120 in words is "thirty-two million, three hundred twenty-five thousand, one hundred twenty".