29678064 has 80 divisors (see below), whose sum is σ = 83328000. Its totient is φ = 9047808.

The previous prime is 29678063. The next prime is 29678069. The reversal of 29678064 is 46087692.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29678063) 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 15 ways as a sum of consecutive naturals, for example, 124057 + ... + 124295.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^29678064 is an apocalyptic number.

29678064 is a gapful number since it is divisible by the number (24) 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 29678064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664000).

29678064 is an abundant number, since it is smaller than the sum of its proper divisors (53649936).

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

29678064 is a wasteful number, since it uses less digits than its factorization.

29678064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 29678064 is about 5447.7577038631. The cubic root of 29678064 is about 309.6077731091.

The spelling of 29678064 in words is "twenty-nine million, six hundred seventy-eight thousand, sixty-four".