32986080 has 72 divisors (see below), whose sum is σ = 112569912. Its totient is φ = 8795904.

The previous prime is 32986061. The next prime is 32986081. The reversal of 32986080 is 8068923.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32986081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10014 + ... + 12893.

It is an arithmetic number, because the mean of its divisors is an integer number (1563471).

Almost surely, 2^32986080 is an apocalyptic number.

32986080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32986080 is an abundant number, since it is smaller than the sum of its proper divisors (79583832).

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

32986080 is a wasteful number, since it uses less digits than its factorization.

32986080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22928 (or 22917 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 32986080 is about 5743.3509382590. The cubic root of 32986080 is about 320.7083267801.

The spelling of 32986080 in words is "thirty-two million, nine hundred eighty-six thousand, eighty".