29140 has 24 divisors (see below), whose sum is σ = 64512. Its totient is φ = 11040.

The previous prime is 29137. The next prime is 29147. The reversal of 29140 is 4192.

29140 = T₉ + T₁₀ + ... + T₅₅.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597 + ... + 643.

It is an arithmetic number, because the mean of its divisors is an integer number (2688).

2²⁹¹⁴⁰ is an apocalyptic number.

29140 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 29140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256).

29140 is an abundant number, since it is smaller than the sum of its proper divisors (35372).

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

29140 is a wasteful number, since it uses less digits than its factorization.

29140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 29140 is about 170.7044229070. The cubic root of 29140 is about 30.7725284927.

It can be divided in two parts, 29 and 140, that added together give a square (169 = 13²).

The spelling of 29140 in words is "twenty-nine thousand, one hundred forty".