29642944 has 56 divisors (see below), whose sum is σ = 61902848. Its totient is φ = 14065920.

The previous prime is 29642941. The next prime is 29642969. The reversal of 29642944 is 44924692.

It is a junction number, because it is equal to n+sod(n) for n = 29642897 and 29642906.

It is not an unprimeable number, because it can be changed into a prime (29642941) 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, 132817 + ... + 133039.

It is an arithmetic number, because the mean of its divisors is an integer number (1105408).

Almost surely, 2^29642944 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 29642944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30951424).

29642944 is an abundant number, since it is smaller than the sum of its proper divisors (32259904).

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

29642944 is a wasteful number, since it uses less digits than its factorization.

29642944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 29642944 is about 5444.5334051689. The cubic root of 29642944 is about 309.4855985080.

The spelling of 29642944 in words is "twenty-nine million, six hundred forty-two thousand, nine hundred forty-four".