32852880 has 120 divisors (see below), whose sum is σ = 111653568. Its totient is φ = 8656128.

The previous prime is 32852867. The next prime is 32852887. The reversal of 32852880 is 8825823.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32852887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73939 + ... + 74381.

Almost surely, 2^32852880 is an apocalyptic number.

32852880 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 32852880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55826784).

32852880 is an abundant number, since it is smaller than the sum of its proper divisors (78800688).

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

32852880 is a wasteful number, since it uses less digits than its factorization.

32852880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 32852880 is about 5731.7431903392. The cubic root of 32852880 is about 320.2760638547.

The spelling of 32852880 in words is "thirty-two million, eight hundred fifty-two thousand, eight hundred eighty".