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29696 = 21029

29696 has 22 divisors (see below), whose sum is σ = 61410. Its totient is φ = 14336.

The previous prime is 29683. The next prime is 29717. The reversal of 29696 is 69692.

29696 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 4096 = 160^2 + 64^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 8 and base 16.

It is a congruent number.

It is an unprimeable number.

29696 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 as a sum of consecutive naturals, namely, 1010 + ... + 1038.

229696 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 29696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30705).

29696 is an abundant number, since it is smaller than the sum of its proper divisors (31714).

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

29696 is an equidigital number, since it uses as much as digits as its factorization.

29696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 31 counting only the distinct ones).

The product of its digits is 5832, while the sum is 32.

The square root of 29696 is about 172.3252738283. The cubic root of 29696 is about 30.9670131250.

The spelling of 29696 in words is "twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 3712 7424 14848 29696