29808960 has 56 divisors (see below), whose sum is σ = 94646496. Its totient is φ = 7948800.

The previous prime is 29808953. The next prime is 29808971. The reversal of 29808960 is 6980892.

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 7 ways as a sum of consecutive naturals, for example, 14566 + ... + 16485.

It is an arithmetic number, because the mean of its divisors is an integer number (1690116).

Almost surely, 2^29808960 is an apocalyptic number.

29808960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29808960 is an abundant number, since it is smaller than the sum of its proper divisors (64837536).

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

29808960 is a wasteful number, since it uses less digits than its factorization.

29808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31071 (or 31061 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 29808960 is about 5459.7582364057. The cubic root of 29808960 is about 310.0622837046.

The spelling of 29808960 in words is "twenty-nine million, eight hundred eight thousand, nine hundred sixty".