29086680 has 128 divisors (see below), whose sum is σ = 103034880. Its totient is φ = 6428160.

The previous prime is 29086667. The next prime is 29086693. The reversal of 29086680 is 8668092.

It is an interprime number because it is at equal distance from previous prime (29086667) and next prime (29086693).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25482 + ... + 26598.

It is an arithmetic number, because the mean of its divisors is an integer number (804960).

Almost surely, 2^29086680 is an apocalyptic number.

29086680 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 29086680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51517440).

29086680 is an abundant number, since it is smaller than the sum of its proper divisors (73948200).

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

29086680 is a wasteful number, since it uses less digits than its factorization.

29086680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 29086680 is about 5393.2068382364. The cubic root of 29086680 is about 307.5374797333.

The spelling of 29086680 in words is "twenty-nine million, eighty-six thousand, six hundred eighty".