32265240 has 128 divisors (see below), whose sum is σ = 112389120. Its totient is φ = 7257600.

The previous prime is 32265217. The next prime is 32265253. The reversal of 32265240 is 4256223.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 32265240.

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 31 ways as a sum of consecutive naturals, for example, 59370 + ... + 59910.

It is an arithmetic number, because the mean of its divisors is an integer number (878040).

Almost surely, 2^32265240 is an apocalyptic number.

32265240 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 32265240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56194560).

32265240 is an abundant number, since it is smaller than the sum of its proper divisors (80123880).

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

32265240 is a wasteful number, since it uses less digits than its factorization.

32265240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 32265240 is about 5680.2499944985. The cubic root of 32265240 is about 318.3549693057.

The spelling of 32265240 in words is "thirty-two million, two hundred sixty-five thousand, two hundred forty".