29006424 has 96 divisors (see below), whose sum is σ = 83603520. Its totient is φ = 9416736.

The previous prime is 29006401. The next prime is 29006429. The reversal of 29006424 is 42460092.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29006429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83419 + ... + 83765.

It is an arithmetic number, because the mean of its divisors is an integer number (870870).

Almost surely, 2^29006424 is an apocalyptic number.

29006424 is a gapful number since it is divisible by the number (24) 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 29006424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41801760).

29006424 is an abundant number, since it is smaller than the sum of its proper divisors (54597096).

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

29006424 is a wasteful number, since it uses less digits than its factorization.

29006424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 29006424 is about 5385.7612275332. The cubic root of 29006424 is about 307.2543665986.

The spelling of 29006424 in words is "twenty-nine million, six thousand, four hundred twenty-four".