29325920 has 96 divisors (see below), whose sum is σ = 77982912. Its totient is φ = 10340352.

The previous prime is 29325917. The next prime is 29325929. The reversal of 29325920 is 2952392.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29325929) 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, 47534 + ... + 48146.

It is an arithmetic number, because the mean of its divisors is an integer number (812322).

Almost surely, 2^29325920 is an apocalyptic number.

29325920 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 29325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38991456).

29325920 is an abundant number, since it is smaller than the sum of its proper divisors (48656992).

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

29325920 is a wasteful number, since it uses less digits than its factorization.

29325920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 29325920 is about 5415.3411711544. The cubic root of 29325920 is about 308.3783510278.

The spelling of 29325920 in words is "twenty-nine million, three hundred twenty-five thousand, nine hundred twenty".