32861680 has 80 divisors (see below), whose sum is σ = 82253664. Its totient is φ = 12165120.

The previous prime is 32861671. The next prime is 32861681. The reversal of 32861680 is 8616823.

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

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32861681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99115 + ... + 99445.

Almost surely, 2^32861680 is an apocalyptic number.

32861680 is the 3310-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32861680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126832).

32861680 is an abundant number, since it is smaller than the sum of its proper divisors (49391984).

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

32861680 is a wasteful number, since it uses less digits than its factorization.

32861680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 32861680 is about 5732.5107937099. The cubic root of 32861680 is about 320.3046577735.

The spelling of 32861680 in words is "thirty-two million, eight hundred sixty-one thousand, six hundred eighty".