29291920 has 80 divisors (see below), whose sum is σ = 81959040. Its totient is φ = 9510912.

The previous prime is 29291909. The next prime is 29291921. The reversal of 29291920 is 2919292.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (29291921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9264 + ... + 12016.

It is an arithmetic number, because the mean of its divisors is an integer number (1024488).

Almost surely, 2^29291920 is an apocalyptic number.

29291920 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 29291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40979520).

29291920 is an abundant number, since it is smaller than the sum of its proper divisors (52667120).

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

29291920 is a wasteful number, since it uses less digits than its factorization.

29291920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 29291920 is about 5412.2010310039. The cubic root of 29291920 is about 308.2591286409.

The spelling of 29291920 in words is "twenty-nine million, two hundred ninety-one thousand, nine hundred twenty".