32285040 has 160 divisors (see below), whose sum is σ = 109118016. Its totient is φ = 7864320.

The previous prime is 32285039. The next prime is 32285059. The reversal of 32285040 is 4058223.

32285040 is nontrivially palindromic in base 9.

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

32285040 is an undulating number in base 3.

32285040 is a nontrivial repdigit in base 9.

It is a plaindrome in base 9.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 32285040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167184 + ... + 167376.

Almost surely, 2^32285040 is an apocalyptic number.

32285040 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 32285040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54559008).

32285040 is an abundant number, since it is smaller than the sum of its proper divisors (76832976).

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

32285040 is a wasteful number, since it uses less digits than its factorization.

32285040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 32285040 is about 5681.9926082317. The cubic root of 32285040 is about 318.4200769307.

The spelling of 32285040 in words is "thirty-two million, two hundred eighty-five thousand, forty".