29680616 has 32 divisors (see below), whose sum is σ = 64416000. Its totient is φ = 12557376.

The previous prime is 29680613. The next prime is 29680619. The reversal of 29680616 is 61608692.

It is an interprime number because it is at equal distance from previous prime (29680613) and next prime (29680619).

It is a super-2 number, since 2×29680616² = 1761877932278912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29680616.

It is not an unprimeable number, because it can be changed into a prime (29680613) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1070 + ... + 7778.

It is an arithmetic number, because the mean of its divisors is an integer number (2013000).

Almost surely, 2^29680616 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 29680616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32208000).

29680616 is an abundant number, since it is smaller than the sum of its proper divisors (34735384).

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

29680616 is a wasteful number, since it uses less digits than its factorization.

29680616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6797 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 29680616 is about 5447.9919236357. The cubic root of 29680616 is about 309.6166471874.

The spelling of 29680616 in words is "twenty-nine million, six hundred eighty thousand, six hundred sixteen".