29680 has 40 divisors (see below), whose sum is σ = 80352. Its totient is φ = 9984.

The previous prime is 29671. The next prime is 29683. The reversal of 29680 is 8692.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29683) by changing a digit.

29680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534 + ... + 586.

2²⁹⁶⁸⁰ is an apocalyptic number.

29680 is a gapful number since it is divisible by the number (20) 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 29680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176).

29680 is an abundant number, since it is smaller than the sum of its proper divisors (50672).

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

29680 is a wasteful number, since it uses less digits than its factorization.

29680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 29680 is about 172.2788437389. The cubic root of 29680 is about 30.9614505215.

The spelling of 29680 in words is "twenty-nine thousand, six hundred eighty".