29114496 has 96 divisors (see below), whose sum is σ = 84864000. Its totient is φ = 9580032.

The previous prime is 29114471. The next prime is 29114539. The reversal of 29114496 is 69441192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 29114496.

It is a congruent number.

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, 146205 + ... + 146403.

It is an arithmetic number, because the mean of its divisors is an integer number (884000).

Almost surely, 2^29114496 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 29114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42432000).

29114496 is an abundant number, since it is smaller than the sum of its proper divisors (55749504).

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

29114496 is a wasteful number, since it uses less digits than its factorization.

29114496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 29114496 is about 5395.7850216627. The cubic root of 29114496 is about 307.6354826343.

The spelling of 29114496 in words is "twenty-nine million, one hundred fourteen thousand, four hundred ninety-six".