29768 has 12 divisors (see below), whose sum is σ = 56745. Its totient is φ = 14640.

The previous prime is 29761. The next prime is 29789. The reversal of 29768 is 86792.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

29768 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 9604 = 142^2 + 98^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=122.

It is a super-2 number, since 2×29768² = 1772267648, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (6048) is a multiple of the sum of its prime divisors (63).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (29761) by changing a digit.

29768 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 in 2 ways as a sum of consecutive naturals, for example, 458 + ... + 518.

29768 is a Friedman number, since it can be written as 8*(7+9*6)^2, using all its digits and the basic arithmetic operations.

2²⁹⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

29768 is a deficient number, since it is larger than the sum of its proper divisors (26977).

29768 is an equidigital number, since it uses as much as digits as its factorization.

29768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 63 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 29768 is about 172.5340546095. The cubic root of 29768 is about 30.9920201451.

Multiplying 29768 by its sum of digits (32), we get a square (952576 = 976²).

It can be divided in two parts, 29 and 768, that added together give a palindrome (797).

The spelling of 29768 in words is "twenty-nine thousand, seven hundred sixty-eight".