29730564 has 72 divisors (see below), whose sum is σ = 79191840. Its totient is φ = 9751104.

The previous prime is 29730563. The next prime is 29730577. The reversal of 29730564 is 46503792.

29730564 is a `hidden beast` number, since 2 + 97 + 3 + 0 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29730563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70747 + ... + 71165.

Almost surely, 2^29730564 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 29730564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39595920).

29730564 is an abundant number, since it is smaller than the sum of its proper divisors (49461276).

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

29730564 is a wasteful number, since it uses less digits than its factorization.

29730564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 29730564 is about 5452.5740710237. The cubic root of 29730564 is about 309.7902292255.

The spelling of 29730564 in words is "twenty-nine million, seven hundred thirty thousand, five hundred sixty-four".