32812880 has 80 divisors (see below), whose sum is σ = 80137728. Its totient is φ = 12480000.

The previous prime is 32812877. The next prime is 32812919. The reversal of 32812880 is 8821823.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250415 + ... + 250545.

Almost surely, 2^32812880 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 32812880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40068864).

32812880 is an abundant number, since it is smaller than the sum of its proper divisors (47324848).

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

32812880 is a wasteful number, since it uses less digits than its factorization.

32812880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 32812880 is about 5728.2527877181. The cubic root of 32812880 is about 320.1460271026.

The spelling of 32812880 in words is "thirty-two million, eight hundred twelve thousand, eight hundred eighty".