29104320 has 224 divisors, whose sum is σ = 108850176. Its totient is φ = 6451200.

The previous prime is 29104307. The next prime is 29104349. The reversal of 29104320 is 2340192.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×29104320² = 1694122885324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 409885 + ... + 409955.

Almost surely, 2^29104320 is an apocalyptic number.

29104320 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 29104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54425088).

29104320 is an abundant number, since it is smaller than the sum of its proper divisors (79745856).

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

29104320 is a wasteful number, since it uses less digits than its factorization.

29104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 29104320 is about 5394.8419810037. The cubic root of 29104320 is about 307.5996372206.

The spelling of 29104320 in words is "twenty-nine million, one hundred four thousand, three hundred twenty".