29245216 has 144 divisors (see below), whose sum is σ = 78829632. Its totient is φ = 10391040.

The previous prime is 29245211. The next prime is 29245243. The reversal of 29245216 is 61254292.

Its product of digits (8640) is a multiple of the sum of its prime factors (135).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29245211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352311 + ... + 352393.

It is an arithmetic number, because the mean of its divisors is an integer number (547428).

Almost surely, 2^29245216 is an apocalyptic number.

29245216 is a gapful number since it is divisible by the number (26) 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 29245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39414816).

29245216 is an abundant number, since it is smaller than the sum of its proper divisors (49584416).

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

29245216 is a wasteful number, since it uses less digits than its factorization.

29245216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 29245216 is about 5407.8846141537. The cubic root of 29245216 is about 308.0952086614.

The spelling of 29245216 in words is "twenty-nine million, two hundred forty-five thousand, two hundred sixteen".