29144124 has 60 divisors (see below), whose sum is σ = 76697544. Its totient is φ = 9650016.

The previous prime is 29144107. The next prime is 29144131. The reversal of 29144124 is 42144192.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94779 + ... + 95085.

Almost surely, 2^29144124 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 29144124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38348772).

29144124 is an abundant number, since it is smaller than the sum of its proper divisors (47553420).

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

29144124 is a wasteful number, since it uses less digits than its factorization.

29144124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 605 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 29144124 is about 5398.5297998622. The cubic root of 29144124 is about 307.7398010471.

The spelling of 29144124 in words is "twenty-nine million, one hundred forty-four thousand, one hundred twenty-four".