29956960 has 48 divisors (see below), whose sum is σ = 77211792. Its totient is φ = 10892800.

The previous prime is 29956957. The next prime is 29956981. The reversal of 29956960 is 6965992.

It is a self number, because there is not a number n which added to its sum of digits gives 29956960.

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, 6751 + ... + 10270.

It is an arithmetic number, because the mean of its divisors is an integer number (1608579).

Almost surely, 2^29956960 is an apocalyptic number.

29956960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29956960 is an abundant number, since it is smaller than the sum of its proper divisors (47254832).

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

29956960 is a wasteful number, since it uses less digits than its factorization.

29956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17047 (or 17039 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The square root of 29956960 is about 5473.2951683606. The cubic root of 29956960 is about 310.5745847140.

The spelling of 29956960 in words is "twenty-nine million, nine hundred fifty-six thousand, nine hundred sixty".