29942766 has 48 divisors (see below), whose sum is σ = 74640384. Its totient is φ = 8497872.

The previous prime is 29942747. The next prime is 29942767. The reversal of 29942766 is 66724992.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29942767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20331 + ... + 21753.

It is an arithmetic number, because the mean of its divisors is an integer number (1555008).

Almost surely, 2^29942766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29942766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37320192).

29942766 is an abundant number, since it is smaller than the sum of its proper divisors (44697618).

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

29942766 is a wasteful number, since it uses less digits than its factorization.

29942766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1602 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 29942766 is about 5471.9983552629. The cubic root of 29942766 is about 310.5255255296.

The spelling of 29942766 in words is "twenty-nine million, nine hundred forty-two thousand, seven hundred sixty-six".