29956864 has 72 divisors (see below), whose sum is σ = 69577760. Its totient is φ = 12607488.

The previous prime is 29956847. The next prime is 29956867. The reversal of 29956864 is 46865992.

It is not an unprimeable number, because it can be changed into a prime (29956867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130702 + ... + 130930.

Almost surely, 2^29956864 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 29956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34788880).

29956864 is an abundant number, since it is smaller than the sum of its proper divisors (39620896).

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

29956864 is an equidigital number, since it uses as much as digits as its factorization.

29956864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The square root of 29956864 is about 5473.2863984995. The cubic root of 29956864 is about 310.5742529581.

The spelling of 29956864 in words is "twenty-nine million, nine hundred fifty-six thousand, eight hundred sixty-four".