29906864 has 40 divisors (see below), whose sum is σ = 63485520. Its totient is φ = 13563648.

The previous prime is 29906839. The next prime is 29906867. The reversal of 29906864 is 46860992.

It is not an unprimeable number, because it can be changed into a prime (29906867) 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, 11054 + ... + 13490.

It is an arithmetic number, because the mean of its divisors is an integer number (1587138).

Almost surely, 2^29906864 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 29906864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31742760).

29906864 is an abundant number, since it is smaller than the sum of its proper divisors (33578656).

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

29906864 is a wasteful number, since it uses less digits than its factorization.

29906864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 29906864 is about 5468.7168513281. The cubic root of 29906864 is about 310.4013670362.

The spelling of 29906864 in words is "twenty-nine million, nine hundred six thousand, eight hundred sixty-four".