32886880 has 96 divisors (see below), whose sum is σ = 85053024. Its totient is φ = 11943936.

The previous prime is 32886863. The next prime is 32886881. The reversal of 32886880 is 8868823.

It is a super-2 number, since 2×32886880² = 2163093752268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32886881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201679 + ... + 201841.

It is an arithmetic number, because the mean of its divisors is an integer number (885969).

Almost surely, 2^32886880 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 32886880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42526512).

32886880 is an abundant number, since it is smaller than the sum of its proper divisors (52166144).

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

32886880 is a wasteful number, since it uses less digits than its factorization.

32886880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 32886880 is about 5734.7083622448. The cubic root of 32886880 is about 320.3865121299.

The spelling of 32886880 in words is "thirty-two million, eight hundred eighty-six thousand, eight hundred eighty".