29679104 has 120 divisors (see below), whose sum is σ = 74883600. Its totient is φ = 11741184.

The previous prime is 29679103. The next prime is 29679173. The reversal of 29679104 is 40197692.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29679101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2283002 + ... + 2283014.

It is an arithmetic number, because the mean of its divisors is an integer number (624030).

Almost surely, 2^29679104 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 29679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37441800).

29679104 is an abundant number, since it is smaller than the sum of its proper divisors (45204496).

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

29679104 is an frugal number, since it uses more digits than its factorization.

29679104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 29679104 is about 5447.8531551429. The cubic root of 29679104 is about 309.6113895660.

The spelling of 29679104 in words is "twenty-nine million, six hundred seventy-nine thousand, one hundred four".