29806920 has 256 divisors, whose sum is σ = 117331200. Its totient is φ = 6635520.

The previous prime is 29806913. The next prime is 29806939. The reversal of 29806920 is 2960892.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154344 + ... + 154536.

It is an arithmetic number, because the mean of its divisors is an integer number (458325).

Almost surely, 2^29806920 is an apocalyptic number.

29806920 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 29806920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58665600).

29806920 is an abundant number, since it is smaller than the sum of its proper divisors (87524280).

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

29806920 is a wasteful number, since it uses less digits than its factorization.

29806920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 29806920 is about 5459.5714117502. The cubic root of 29806920 is about 310.0552104232.

The spelling of 29806920 in words is "twenty-nine million, eight hundred six thousand, nine hundred twenty".