29120 has 56 divisors (see below), whose sum is σ = 85344. Its totient is φ = 9216.

The previous prime is 29101. The next prime is 29123. The reversal of 29120 is 2192.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 29095 and 29104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2234 + ... + 2246.

It is an arithmetic number, because the mean of its divisors is an integer number (1524).

2²⁹¹²⁰ is an apocalyptic number.

29120 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 29120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42672).

29120 is an abundant number, since it is smaller than the sum of its proper divisors (56224).

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

29120 is a wasteful number, since it uses less digits than its factorization.

29120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 29120 is about 170.6458320616. The cubic root of 29120 is about 30.7654867239.

29120 divided by its sum of digits (14) gives a triangular number (2080 = T₆₄).

The spelling of 29120 in words is "twenty-nine thousand, one hundred twenty".