29745990 has 48 divisors (see below), whose sum is σ = 78509808. Its totient is φ = 7812288.

The previous prime is 29745959. The next prime is 29745997. The reversal of 29745990 is 9954792.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29745997) 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 23 ways as a sum of consecutive naturals, for example, 3564 + ... + 8496.

It is an arithmetic number, because the mean of its divisors is an integer number (1635621).

Almost surely, 2^29745990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29745990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39254904).

29745990 is an abundant number, since it is smaller than the sum of its proper divisors (48763818).

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

29745990 is a wasteful number, since it uses less digits than its factorization.

29745990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 29745990 is about 5453.9884488327. The cubic root of 29745990 is about 309.8437992127.

The spelling of 29745990 in words is "twenty-nine million, seven hundred forty-five thousand, nine hundred ninety".