32006880 has 192 divisors, whose sum is σ = 116121600. Its totient is φ = 8225280.

The previous prime is 32006879. The next prime is 32006881. The reversal of 32006880 is 8860023.

It is an interprime number because it is at equal distance from previous prime (32006879) and next prime (32006881).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32006881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133801 + ... + 134039.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^32006880 is an apocalyptic number.

32006880 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 32006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

32006880 is an abundant number, since it is smaller than the sum of its proper divisors (84114720).

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

32006880 is a wasteful number, since it uses less digits than its factorization.

32006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 32006880 is about 5657.4623286417. The cubic root of 32006880 is about 317.5029615116.

The spelling of 32006880 in words is "thirty-two million, six thousand, eight hundred eighty".