29680596 has 72 divisors (see below), whose sum is σ = 82450368. Its totient is φ = 8928000.

The previous prime is 29680577. The next prime is 29680613. The reversal of 29680596 is 69508692.

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, 95281 + ... + 95591.

It is an arithmetic number, because the mean of its divisors is an integer number (1145144).

Almost surely, 2^29680596 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 29680596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41225184).

29680596 is an abundant number, since it is smaller than the sum of its proper divisors (52769772).

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

29680596 is a wasteful number, since it uses less digits than its factorization.

29680596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 29680596 is about 5447.9900880967. The cubic root of 29680596 is about 309.6165776433.

It can be divided in two parts, 29680 and 596, that added together give a square (30276 = 174²).

The spelling of 29680596 in words is "twenty-nine million, six hundred eighty thousand, five hundred ninety-six".