29040641 has 16 divisors (see below), whose sum is σ = 35633664. Its totient is φ = 23099904.

The previous prime is 29040619. The next prime is 29040643. The reversal of 29040641 is 14604092.

29040641 = 1299² + 1300² + ... + 1315².

It is a cyclic number.

It is not a de Polignac number, because 29040641 - 2¹⁰ = 29039617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29040641.

It is not an unprimeable number, because it can be changed into a prime (29040643) 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, 7016 + ... + 10358.

It is an arithmetic number, because the mean of its divisors is an integer number (2227104).

It is a Proth number, since it is equal to 3545 ⋅ 2¹³ + 1 and 3545 < 2¹³.

Almost surely, 2^29040641 is an apocalyptic number.

It is an amenable number.

29040641 is a deficient number, since it is larger than the sum of its proper divisors (6593023).

29040641 is a wasteful number, since it uses less digits than its factorization.

29040641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 29040641 is about 5388.9369081480. The cubic root of 29040641 is about 307.3751351498.

The spelling of 29040641 in words is "twenty-nine million, forty thousand, six hundred forty-one".