29850672 has 80 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 9273600.

The previous prime is 29850671. The next prime is 29850697. The reversal of 29850672 is 27605892.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29850672.

It is not an unprimeable number, because it can be changed into a prime (29850671) 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 15 ways as a sum of consecutive naturals, for example, 64522 + ... + 64982.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^29850672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29850672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

29850672 is an abundant number, since it is smaller than the sum of its proper divisors (52644048).

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

29850672 is a wasteful number, since it uses less digits than its factorization.

29850672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 29850672 is about 5463.5768503792. The cubic root of 29850672 is about 310.2068408007.

The spelling of 29850672 in words is "twenty-nine million, eight hundred fifty thousand, six hundred seventy-two".