29938920 has 128 divisors (see below), whose sum is σ = 100794240. Its totient is φ = 7050240.

The previous prime is 29938891. The next prime is 29938967. The reversal of 29938920 is 2983992.

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, 48534 + ... + 49146.

It is an arithmetic number, because the mean of its divisors is an integer number (787455).

Almost surely, 2^29938920 is an apocalyptic number.

29938920 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 29938920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50397120).

29938920 is an abundant number, since it is smaller than the sum of its proper divisors (70855320).

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

29938920 is a wasteful number, since it uses less digits than its factorization.

29938920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 29938920 is about 5471.6469184332. The cubic root of 29938920 is about 310.5122298050.

The spelling of 29938920 in words is "twenty-nine million, nine hundred thirty-eight thousand, nine hundred twenty".