29116864 has 56 divisors (see below), whose sum is σ = 66779648. Its totient is φ = 12337920.

The previous prime is 29116861. The next prime is 29116883. The reversal of 29116864 is 46861192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29116861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45829 + ... + 46459.

Almost surely, 2^29116864 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 29116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33389824).

29116864 is an abundant number, since it is smaller than the sum of its proper divisors (37662784).

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

29116864 is a wasteful number, since it uses less digits than its factorization.

29116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 29116864 is about 5396.0044477372. The cubic root of 29116864 is about 307.6438228219.

The spelling of 29116864 in words is "twenty-nine million, one hundred sixteen thousand, eight hundred sixty-four".