29969856 has 84 divisors (see below), whose sum is σ = 98188272. Its totient is φ = 8561664.

The previous prime is 29969833. The next prime is 29969869. The reversal of 29969856 is 65896992.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 316 + ... + 7748.

It is an arithmetic number, because the mean of its divisors is an integer number (1168908).

Almost surely, 2^29969856 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 29969856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49094136).

29969856 is an abundant number, since it is smaller than the sum of its proper divisors (68218416).

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

29969856 is a wasteful number, since it uses less digits than its factorization.

29969856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7458 (or 7445 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 29969856 is about 5474.4731253336. The cubic root of 29969856 is about 310.6191441448.

The spelling of 29969856 in words is "twenty-nine million, nine hundred sixty-nine thousand, eight hundred fifty-six".