29265696 has 72 divisors (see below), whose sum is σ = 83747664. Its totient is φ = 9694080.

The previous prime is 29265689. The next prime is 29265697. The reversal of 29265696 is 69656292.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×29265696³ (a number of 23 digits) contains 333 as substring.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (29265697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88251 + ... + 88581.

It is an arithmetic number, because the mean of its divisors is an integer number (1163162).

Almost surely, 2^29265696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29265696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41873832).

29265696 is an abundant number, since it is smaller than the sum of its proper divisors (54481968).

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

29265696 is a wasteful number, since it uses less digits than its factorization.

29265696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 643 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 29265696 is about 5409.7778142915. Note that the first 3 decimals coincide. The cubic root of 29265696 is about 308.1671100801.

The spelling of 29265696 in words is "twenty-nine million, two hundred sixty-five thousand, six hundred ninety-six".