29967966 has 48 divisors (see below), whose sum is σ = 76029408. Its totient is φ = 8352000.

The previous prime is 29967943. The next prime is 29968009. The reversal of 29967966 is 66976992.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 2266 + ... + 8066.

It is an arithmetic number, because the mean of its divisors is an integer number (1583946).

Almost surely, 2^29967966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29967966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38014704).

29967966 is an abundant number, since it is smaller than the sum of its proper divisors (46061442).

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

29967966 is a wasteful number, since it uses less digits than its factorization.

29967966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5854 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 29967966 is about 5474.3005032607. The cubic root of 29967966 is about 310.6126144446.

It can be divided in two parts, 299 and 67966, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 29967966 in words is "twenty-nine million, nine hundred sixty-seven thousand, nine hundred sixty-six".