29520 has 60 divisors (see below), whose sum is σ = 101556. Its totient is φ = 7680.

The previous prime is 29501. The next prime is 29527. The reversal of 29520 is 2592.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 24336 = 72^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 3, base 9 and base 14.

It is a zygodrome in base 3 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 29493 and 29502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29527) by changing a digit.

29520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700 + ... + 740.

2²⁹⁵²⁰ is an apocalyptic number.

29520 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 29520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50778).

29520 is an abundant number, since it is smaller than the sum of its proper divisors (72036).

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

29520 is a wasteful number, since it uses less digits than its factorization.

29520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 29520 is about 171.8138527593. The cubic root of 29520 is about 30.9057142164.

The spelling of 29520 in words is "twenty-nine thousand, five hundred twenty".