29040 has 60 divisors (see below), whose sum is σ = 98952. Its totient is φ = 7040.

The previous prime is 29033. The next prime is 29059. The reversal of 29040 is 4092.

29040 = T₁₁ + T₁₂ + ... + T₅₅.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 2635 + ... + 2645.

2²⁹⁰⁴⁰ is an apocalyptic number.

29040 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 29040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49476).

29040 is an abundant number, since it is smaller than the sum of its proper divisors (69912).

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

29040 is a wasteful number, since it uses less digits than its factorization.

29040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 29040 is about 170.4112672331. The cubic root of 29040 is about 30.7372873619.

Multiplying 29040 by its sum of digits (15), we get a square (435600 = 660²).

29040 divided by its sum of digits (15) gives a square (1936 = 44²).

The spelling of 29040 in words is "twenty-nine thousand, forty".