29648 has 20 divisors (see below), whose sum is σ = 61380. Its totient is φ = 13824.

The previous prime is 29641. The next prime is 29663. The reversal of 29648 is 84692.

29648 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 7744 = 148^2 + 88^2 .

Its product of digits (3456) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 29648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29641) 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, 218 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (3069).

2²⁹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30690).

29648 is an abundant number, since it is smaller than the sum of its proper divisors (31732).

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

29648 is a wasteful number, since it uses less digits than its factorization.

29648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 29648 is about 172.1859460002. The cubic root of 29648 is about 30.9503193142.

The spelling of 29648 in words is "twenty-nine thousand, six hundred forty-eight".