32827680 has 240 divisors, whose sum is σ = 123492600. Its totient is φ = 8183808.

The previous prime is 32827679. The next prime is 32827703. The reversal of 32827680 is 8672823.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24324624 + 8503056 = 4932^2 + 2916^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220246 + ... + 220394.

Almost surely, 2^32827680 is an apocalyptic number.

32827680 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 32827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746300).

32827680 is an abundant number, since it is smaller than the sum of its proper divisors (90664920).

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

32827680 is a wasteful number, since it uses less digits than its factorization.

32827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

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

The square root of 32827680 is about 5729.5444845118. The cubic root of 32827680 is about 320.1941530114.

The spelling of 32827680 in words is "thirty-two million, eight hundred twenty-seven thousand, six hundred eighty".