29042320 has 40 divisors (see below), whose sum is σ = 68462136. Its totient is φ = 11455488.

The previous prime is 29042267. The next prime is 29042327. The reversal of 29042320 is 2324092.

It can be written as a sum of positive squares in 4 ways, for example, as 5071504 + 23970816 = 2252^2 + 4896^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 29042291 and 29042300.

It is not an unprimeable number, because it can be changed into a prime (29042327) 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, 3354 + ... + 8326.

Almost surely, 2^29042320 is an apocalyptic number.

29042320 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 29042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34231068).

29042320 is an abundant number, since it is smaller than the sum of its proper divisors (39419816).

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

29042320 is a wasteful number, since it uses less digits than its factorization.

29042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 29042320 is about 5389.0926880134. The cubic root of 29042320 is about 307.3810587210.

The spelling of 29042320 in words is "twenty-nine million, forty-two thousand, three hundred twenty".