29880016 has 40 divisors (see below), whose sum is σ = 62975880. Its totient is φ = 13676544.

The previous prime is 29879959. The next prime is 29880017. The reversal of 29880016 is 61008892.

It can be written as a sum of positive squares in 4 ways, for example, as 4840000 + 25040016 = 2200^2 + 5004^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29880017) 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, 8580 + ... + 11548.

It is an arithmetic number, because the mean of its divisors is an integer number (1574397).

Almost surely, 2^29880016 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 29880016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31487940).

29880016 is an abundant number, since it is smaller than the sum of its proper divisors (33095864).

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

29880016 is a wasteful number, since it uses less digits than its factorization.

29880016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 29880016 is about 5466.2616110098. The cubic root of 29880016 is about 310.3084546877.

The spelling of 29880016 in words is "twenty-nine million, eight hundred eighty thousand, sixteen".