29014920 has 192 divisors, whose sum is σ = 109175040. Its totient is φ = 6604800.

The previous prime is 29014907. The next prime is 29014927. The reversal of 29014920 is 2941092.

It is not an unprimeable number, because it can be changed into a prime (29014927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67105 + ... + 67535.

It is an arithmetic number, because the mean of its divisors is an integer number (568620).

Almost surely, 2^29014920 is an apocalyptic number.

29014920 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 29014920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54587520).

29014920 is an abundant number, since it is smaller than the sum of its proper divisors (80160120).

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

29014920 is a wasteful number, since it uses less digits than its factorization.

29014920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 29014920 is about 5386.5499162265. The cubic root of 29014920 is about 307.2843620033.

The spelling of 29014920 in words is "twenty-nine million, fourteen thousand, nine hundred twenty".