29764064 has 36 divisors (see below), whose sum is σ = 64417752. Its totient is φ = 13527360.

The previous prime is 29764057. The next prime is 29764129. The reversal of 29764064 is 46046792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29 + ... + 7715.

It is an arithmetic number, because the mean of its divisors is an integer number (1789382).

Almost surely, 2^29764064 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 29764064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32208876).

29764064 is an abundant number, since it is smaller than the sum of its proper divisors (34653688).

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

29764064 is a wasteful number, since it uses less digits than its factorization.

29764064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7719 (or 7700 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 29764064 is about 5455.6451497509. The cubic root of 29764064 is about 309.9065413726.

The spelling of 29764064 in words is "twenty-nine million, seven hundred sixty-four thousand, sixty-four".