29934080 has 80 divisors (see below), whose sum is σ = 78369984. Its totient is φ = 10874880.

The previous prime is 29934053. The next prime is 29934083. The reversal of 29934080 is 8043992.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29934080.

It is not an unprimeable number, because it can be changed into a prime (29934083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27629 + ... + 28691.

Almost surely, 2^29934080 is an apocalyptic number.

29934080 is a gapful number since it is divisible by the number (20) 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 29934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184992).

29934080 is an abundant number, since it is smaller than the sum of its proper divisors (48435904).

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

29934080 is a wasteful number, since it uses less digits than its factorization.

29934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 29934080 is about 5471.2046205566. The cubic root of 29934080 is about 310.4954961777.

The spelling of 29934080 in words is "twenty-nine million, nine hundred thirty-four thousand, eighty".