29905038 has 72 divisors (see below), whose sum is σ = 70146648. Its totient is φ = 9552816.

The previous prime is 29905013. The next prime is 29905039. The reversal of 29905038 is 83050992.

It is a super-2 number, since 2×29905038² = 1788622595562888, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 29904993 and 29905011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29905039) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564220 + ... + 564272.

It is an arithmetic number, because the mean of its divisors is an integer number (974259).

Almost surely, 2^29905038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29905038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35073324).

29905038 is an abundant number, since it is smaller than the sum of its proper divisors (40241610).

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

29905038 is an frugal number, since it uses more digits than its factorization.

29905038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 29905038 is about 5468.5498991963. The cubic root of 29905038 is about 310.3950495964.

The spelling of 29905038 in words is "twenty-nine million, nine hundred five thousand, thirty-eight".