32678880 has 96 divisors (see below), whose sum is σ = 110877984. Its totient is φ = 8042496.

The previous prime is 32678873. The next prime is 32678887. The reversal of 32678880 is 8887623.

It is an interprime number because it is at equal distance from previous prime (32678873) and next prime (32678887).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32678887) 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 15 ways as a sum of consecutive naturals, for example, 3622 + ... + 8858.

It is an arithmetic number, because the mean of its divisors is an integer number (1154979).

Almost surely, 2^32678880 is an apocalyptic number.

32678880 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 32678880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55438992).

32678880 is an abundant number, since it is smaller than the sum of its proper divisors (78199104).

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

32678880 is a wasteful number, since it uses less digits than its factorization.

32678880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 32678880 is about 5716.5444107433. The cubic root of 32678880 is about 319.7096324339.

The spelling of 32678880 in words is "thirty-two million, six hundred seventy-eight thousand, eight hundred eighty".