29124880 has 40 divisors (see below), whose sum is σ = 68192064. Its totient is φ = 11568000.

The previous prime is 29124871. The next prime is 29124917. The reversal of 29124880 is 8842192.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 10875 + ... + 13285.

Almost surely, 2^29124880 is an apocalyptic number.

29124880 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 29124880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34096032).

29124880 is an abundant number, since it is smaller than the sum of its proper divisors (39067184).

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

29124880 is a wasteful number, since it uses less digits than its factorization.

29124880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 29124880 is about 5396.7471684340. The cubic root of 29124880 is about 307.6720521281.

The spelling of 29124880 in words is "twenty-nine million, one hundred twenty-four thousand, eight hundred eighty".