29380680 has 192 divisors, whose sum is σ = 111196800. Its totient is φ = 6589440.

The previous prime is 29380679. The next prime is 29380691. The reversal of 29380680 is 8608392.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224215 + ... + 224345.

It is an arithmetic number, because the mean of its divisors is an integer number (579150).

Almost surely, 2^29380680 is an apocalyptic number.

29380680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29380680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598400).

29380680 is an abundant number, since it is smaller than the sum of its proper divisors (81816120).

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

29380680 is a wasteful number, since it uses less digits than its factorization.

29380680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 29380680 is about 5420.3948195680. The cubic root of 29380680 is about 308.5701756269.

The spelling of 29380680 in words is "twenty-nine million, three hundred eighty thousand, six hundred eighty".