32257120 has 96 divisors (see below), whose sum is σ = 88397568. Its totient is φ = 10894848.

The previous prime is 32257103. The next prime is 32257123. The reversal of 32257120 is 2175223.

It is a junction number, because it is equal to n+sod(n) for n = 32257091 and 32257100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32257123) 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 15 ways as a sum of consecutive naturals, for example, 92787 + ... + 93133.

It is an arithmetic number, because the mean of its divisors is an integer number (920808).

Almost surely, 2^32257120 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 32257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44198784).

32257120 is an abundant number, since it is smaller than the sum of its proper divisors (56140448).

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

32257120 is a wasteful number, since it uses less digits than its factorization.

32257120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 32257120 is about 5679.5351922495. The cubic root of 32257120 is about 318.3282609013.

The spelling of 32257120 in words is "thirty-two million, two hundred fifty-seven thousand, one hundred twenty".