32880816 has 70 divisors (see below), whose sum is σ = 95550060. Its totient is φ = 10956384.

The previous prime is 32880781. The next prime is 32880817. The reversal of 32880816 is 61808823.

It is a super-2 number, since 2×32880816² = 2162296121651712, which contains 22 as substring.

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 (32880817) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10255 + ... + 13073.

Almost surely, 2^32880816 is an apocalyptic number.

32880816 is a gapful number since it is divisible by the number (36) 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 32880816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47775030).

32880816 is an abundant number, since it is smaller than the sum of its proper divisors (62669244).

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

32880816 is an equidigital number, since it uses as much as digits as its factorization.

32880816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 32880816 is about 5734.1796274620. The cubic root of 32880816 is about 320.3668189348.

The spelling of 32880816 in words is "thirty-two million, eight hundred eighty thousand, eight hundred sixteen".