29114880 has 160 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 7274496.

The previous prime is 29114851. The next prime is 29114903. The reversal of 29114880 is 8841192.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130449 + ... + 130671.

Almost surely, 2^29114880 is an apocalyptic number.

29114880 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 29114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

29114880 is an abundant number, since it is smaller than the sum of its proper divisors (69878784).

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

29114880 is a wasteful number, since it uses less digits than its factorization.

29114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 29114880 is about 5395.8206048756. The cubic root of 29114880 is about 307.6368351279.

The spelling of 29114880 in words is "twenty-nine million, one hundred fourteen thousand, eight hundred eighty".