29505090 has 64 divisors (see below), whose sum is σ = 75209472. Its totient is φ = 7392000.

The previous prime is 29505061. The next prime is 29505097. The reversal of 29505090 is 9050592.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (29505097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41740 + ... + 42440.

It is an arithmetic number, because the mean of its divisors is an integer number (1175148).

Almost surely, 2^29505090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29505090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37604736).

29505090 is an abundant number, since it is smaller than the sum of its proper divisors (45704382).

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

29505090 is a wasteful number, since it uses less digits than its factorization.

29505090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 29505090 is about 5431.8587978702. The cubic root of 29505090 is about 309.0051004070.

29505090 divided by its sum of digits (30) gives a triangular number (983503 = T₁₄₀₂).

The spelling of 29505090 in words is "twenty-nine million, five hundred five thousand, ninety".