29260 has 48 divisors (see below), whose sum is σ = 80640. Its totient is φ = 8640.

The previous prime is 29251. The next prime is 29269. The reversal of 29260 is 6292.

29260 = T₁ + T₂ + ... + T₅₅.

29260 is a nontrivial binomial coefficient, being equal to C(57, 3).

It is an interprime number because it is at equal distance from previous prime (29251) and next prime (29269).

It is a super-2 number, since 2×29260² = 1712295200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (29269) by changing a digit.

It is the 55-th tetrahedral 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 15 ways as a sum of consecutive naturals, for example, 1531 + ... + 1549.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2²⁹²⁶⁰ is an apocalyptic number.

29260 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 29260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

29260 is an abundant number, since it is smaller than the sum of its proper divisors (51380).

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

29260 is a wasteful number, since it uses less digits than its factorization.

29260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 44 counting only the distinct ones).

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

The square root of 29260 is about 171.0555465339. The cubic root of 29260 is about 30.8147115866.

Subtracting from 29260 its sum of digits (19), we obtain a square (29241 = 171²).

29260 divided by its sum of digits (19) gives a triangular number (1540 = T₅₅).

It can be divided in two parts, 29 and 260, that added together give a square (289 = 17²).

The spelling of 29260 in words is "twenty-nine thousand, two hundred sixty".