29134864 has 60 divisors (see below), whose sum is σ = 63081900. Its totient is φ = 13024000.

The previous prime is 29134829. The next prime is 29134891. The reversal of 29134864 is 46843192.

It can be written as a sum of positive squares in 2 ways, for example, as 16744464 + 12390400 = 4092^2 + 3520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195462 + ... + 195610.

It is an arithmetic number, because the mean of its divisors is an integer number (1051365).

Almost surely, 2^29134864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29134864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31540950).

29134864 is an abundant number, since it is smaller than the sum of its proper divisors (33947036).

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

29134864 is a wasteful number, since it uses less digits than its factorization.

29134864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 29134864 is about 5397.6720908184. The cubic root of 29134864 is about 307.7072047403.

It can be divided in two parts, 2913 and 4864, that added together give a palindrome (7777).

The spelling of 29134864 in words is "twenty-nine million, one hundred thirty-four thousand, eight hundred sixty-four".