29620 has 12 divisors (see below), whose sum is σ = 62244. Its totient is φ = 11840.

The previous prime is 29611. The next prime is 29629. The reversal of 29620 is 2692.

It is an interprime number because it is at equal distance from previous prime (29611) and next prime (29629).

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 17956 = 108^2 + 134^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29629) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 721 + ... + 760.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

2²⁹⁶²⁰ is an apocalyptic number.

29620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29620 is an abundant number, since it is smaller than the sum of its proper divisors (32624).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31122).

29620 is a wasteful number, since it uses less digits than its factorization.

29620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 29620 is about 172.1046193453. The cubic root of 29620 is about 30.9405729356.

The spelling of 29620 in words is "twenty-nine thousand, six hundred twenty".