29980896 has 144 divisors (see below), whose sum is σ = 90493200. Its totient is φ = 8673280.

The previous prime is 29980883. The next prime is 29980897. The reversal of 29980896 is 69808992.

29980896 is a nontrivial binomial coefficient, being equal to C(7744, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29980897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336820 + ... + 336908.

It is an arithmetic number, because the mean of its divisors is an integer number (628425).

Almost surely, 2^29980896 is an apocalyptic number.

29980896 is the 7743-rd triangular number and also the 3872-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29980896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45246600).

29980896 is an abundant number, since it is smaller than the sum of its proper divisors (60512304).

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

29980896 is a wasteful number, since it uses less digits than its factorization.

29980896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 29980896 is about 5475.4813487035. The cubic root of 29980896 is about 310.6572804015.

It can be divided in two parts, 29980 and 896, that added together give a triangular number (30876 = T₂₄₈).

The spelling of 29980896 in words is "twenty-nine million, nine hundred eighty thousand, eight hundred ninety-six".