32678280 has 96 divisors (see below), whose sum is σ = 108725760. Its totient is φ = 8507520.

The previous prime is 32678279. The next prime is 32678287. The reversal of 32678280 is 8287623.

It is a happy number.

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 (32678287) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14425 + ... + 16535.

It is an arithmetic number, because the mean of its divisors is an integer number (1132560).

Almost surely, 2^32678280 is an apocalyptic number.

32678280 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 32678280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54362880).

32678280 is an abundant number, since it is smaller than the sum of its proper divisors (76047480).

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

32678280 is a wasteful number, since it uses less digits than its factorization.

32678280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 32678280 is about 5716.4919312459. The cubic root of 32678280 is about 319.7076757476.

It can be divided in two parts, 326 and 78280, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 32678280 in words is "thirty-two million, six hundred seventy-eight thousand, two hundred eighty".