29013040 has 80 divisors (see below), whose sum is σ = 77995008. Its totient is φ = 9831168.

The previous prime is 29013037. The next prime is 29013041. The reversal of 29013040 is 4031092.

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

It is a junction number, because it is equal to n+sod(n) for n = 29012999 and 29013017.

It is not an unprimeable number, because it can be changed into a prime (29013041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57429 + ... + 57931.

Almost surely, 2^29013040 is an apocalyptic number.

29013040 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 29013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38997504).

29013040 is an abundant number, since it is smaller than the sum of its proper divisors (48981968).

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

29013040 is a wasteful number, since it uses less digits than its factorization.

29013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 29013040 is about 5386.3754046669. The cubic root of 29013040 is about 307.2777251066.

The spelling of 29013040 in words is "twenty-nine million, thirteen thousand, forty".