29000960 has 72 divisors (see below), whose sum is σ = 70395360. Its totient is φ = 11446272.

The previous prime is 29000941. The next prime is 29000969. The reversal of 29000960 is 6900092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29000969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177839 + ... + 178001.

Almost surely, 2^29000960 is an apocalyptic number.

29000960 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 29000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35197680).

29000960 is an abundant number, since it is smaller than the sum of its proper divisors (41394400).

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

29000960 is a wasteful number, since it uses less digits than its factorization.

29000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 29000960 is about 5385.2539401592. The cubic root of 29000960 is about 307.2350726739.

The spelling of 29000960 in words is "twenty-nine million, nine hundred sixty", and thus it is an aban number.