29960832 has 128 divisors (see below), whose sum is σ = 89449920. Its totient is φ = 8806400.

The previous prime is 29960813. The next prime is 29960837. The reversal of 29960832 is 23806992.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (29960837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173098 + ... + 173270.

Almost surely, 2^29960832 is an apocalyptic number.

29960832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44724960).

29960832 is an abundant number, since it is smaller than the sum of its proper divisors (59489088).

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

29960832 is a wasteful number, since it uses less digits than its factorization.

29960832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 29960832 is about 5473.6488743799. The cubic root of 29960832 is about 310.5879649433.

The spelling of 29960832 in words is "twenty-nine million, nine hundred sixty thousand, eight hundred thirty-two".