29805040 has 60 divisors (see below), whose sum is σ = 71930664. Its totient is φ = 11484928.

The previous prime is 29805023. The next prime is 29805047. The reversal of 29805040 is 4050892.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29805047) 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 11 ways as a sum of consecutive naturals, for example, 67059 + ... + 67501.

Almost surely, 2^29805040 is an apocalyptic number.

29805040 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 29805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35965332).

29805040 is an abundant number, since it is smaller than the sum of its proper divisors (42125624).

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

29805040 is a wasteful number, since it uses less digits than its factorization.

29805040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 29805040 is about 5459.3992343480. The cubic root of 29805040 is about 310.0486916232.

The spelling of 29805040 in words is "twenty-nine million, eight hundred five thousand, forty".