29868680 has 64 divisors (see below), whose sum is σ = 69770160. Its totient is φ = 11501568.

The previous prime is 29868679. The next prime is 29868739. The reversal of 29868680 is 8686892.

It can be written as a sum of positive squares in 8 ways, for example, as 13205956 + 16662724 = 3634^2 + 4082^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154664 + ... + 154856.

Almost surely, 2^29868680 is an apocalyptic number.

29868680 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 29868680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34885080).

29868680 is an abundant number, since it is smaller than the sum of its proper divisors (39901480).

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

29868680 is a wasteful number, since it uses less digits than its factorization.

29868680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 29868680 is about 5465.2246065464. The cubic root of 29868680 is about 310.2692077031.

The spelling of 29868680 in words is "twenty-nine million, eight hundred sixty-eight thousand, six hundred eighty".