29966652 has 48 divisors (see below), whose sum is σ = 78650880. Its totient is φ = 9865584.

The previous prime is 29966641. The next prime is 29966653. The reversal of 29966652 is 25666992.

It is a junction number, because it is equal to n+sod(n) for n = 29966598 and 29966607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29966653) 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 15 ways as a sum of consecutive naturals, for example, 7293 + ... + 10635.

It is an arithmetic number, because the mean of its divisors is an integer number (1638560).

Almost surely, 2^29966652 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 29966652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39325440).

29966652 is an abundant number, since it is smaller than the sum of its proper divisors (48684228).

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

29966652 is a wasteful number, since it uses less digits than its factorization.

29966652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3431 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 29966652 is about 5474.1804866117. The cubic root of 29966652 is about 310.6080745865.

The spelling of 29966652 in words is "twenty-nine million, nine hundred sixty-six thousand, six hundred fifty-two".