29220864 has 112 divisors (see below), whose sum is σ = 82570320. Its totient is φ = 9175040.

The previous prime is 29220853. The next prime is 29220869. The reversal of 29220864 is 46802292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29220869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712684 + ... + 712724.

It is an arithmetic number, because the mean of its divisors is an integer number (737235).

Almost surely, 2^29220864 is an apocalyptic number.

29220864 is a gapful number since it is divisible by the number (24) 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 29220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41285160).

29220864 is an abundant number, since it is smaller than the sum of its proper divisors (53349456).

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

29220864 is an equidigital number, since it uses as much as digits as its factorization.

29220864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 29220864 is about 5405.6326179273. The cubic root of 29220864 is about 308.0096696801.

The spelling of 29220864 in words is "twenty-nine million, two hundred twenty thousand, eight hundred sixty-four".