29134820 has 96 divisors (see below), whose sum is σ = 73495296. Its totient is φ = 9561600.

The previous prime is 29134751. The next prime is 29134829. The reversal of 29134820 is 2843192.

It is not an unprimeable number, because it can be changed into a prime (29134829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174377 + ... + 174543.

It is an arithmetic number, because the mean of its divisors is an integer number (765576).

Almost surely, 2^29134820 is an apocalyptic number.

29134820 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 29134820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36747648).

29134820 is an abundant number, since it is smaller than the sum of its proper divisors (44360476).

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

29134820 is a wasteful number, since it uses less digits than its factorization.

29134820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 29134820 is about 5397.6680149857. The cubic root of 29134820 is about 307.7070498385.

The spelling of 29134820 in words is "twenty-nine million, one hundred thirty-four thousand, eight hundred twenty".