29109920 has 144 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 9644544.

The previous prime is 29109907. The next prime is 29109943. The reversal of 29109920 is 2990192.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368441 + ... + 368519.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 2^29109920 is an apocalyptic number.

29109920 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 29109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

29109920 is an abundant number, since it is smaller than the sum of its proper divisors (53626720).

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

29109920 is a wasteful number, since it uses less digits than its factorization.

29109920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 29109920 is about 5395.3609703151. The cubic root of 29109920 is about 307.6193645039.

The spelling of 29109920 in words is "twenty-nine million, one hundred nine thousand, nine hundred twenty".