29668338 has 48 divisors (see below), whose sum is σ = 75269376. Its totient is φ = 8268480.

The previous prime is 29668277. The next prime is 29668357. The reversal of 29668338 is 83386692.

It is a junction number, because it is equal to n+sod(n) for n = 29668293 and 29668302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2295 + ... + 8037.

It is an arithmetic number, because the mean of its divisors is an integer number (1568112).

Almost surely, 2^29668338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29668338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37634688).

29668338 is an abundant number, since it is smaller than the sum of its proper divisors (45601038).

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

29668338 is a wasteful number, since it uses less digits than its factorization.

29668338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799 (or 5796 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 29668338 is about 5446.8649698703. The cubic root of 29668338 is about 309.5739481915.

The spelling of 29668338 in words is "twenty-nine million, six hundred sixty-eight thousand, three hundred thirty-eight".