29316864 has 72 divisors (see below), whose sum is σ = 79470720. Its totient is φ = 9591808.

The previous prime is 29316851. The next prime is 29316871. The reversal of 29316864 is 46861392.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44989 + ... + 45635.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 2^29316864 is an apocalyptic number.

29316864 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 29316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39735360).

29316864 is an abundant number, since it is smaller than the sum of its proper divisors (50153856).

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

29316864 is an equidigital number, since it uses as much as digits as its factorization.

29316864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 711 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 29316864 is about 5414.5049635216. The cubic root of 29316864 is about 308.3466048017.

The spelling of 29316864 in words is "twenty-nine million, three hundred sixteen thousand, eight hundred sixty-four".