29956896 has 144 divisors (see below), whose sum is σ = 90810720. Its totient is φ = 9354240.

The previous prime is 29956889. The next prime is 29956919. The reversal of 29956896 is 69865992.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507715 + ... + 507773.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 2^29956896 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 29956896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45405360).

29956896 is an abundant number, since it is smaller than the sum of its proper divisors (60853824).

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

29956896 is a wasteful number, since it uses less digits than its factorization.

29956896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 29956896 is about 5473.2893217881. The cubic root of 29956896 is about 310.5743635435.

The spelling of 29956896 in words is "twenty-nine million, nine hundred fifty-six thousand, eight hundred ninety-six".