29064042 has 64 divisors (see below), whose sum is σ = 77045760. Its totient is φ = 7940592.

The previous prime is 29064023. The next prime is 29064059. The reversal of 29064042 is 24046092.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 29063997 and 29064015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7023 + ... + 10365.

It is an arithmetic number, because the mean of its divisors is an integer number (1203840).

Almost surely, 2^29064042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29064042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38522880).

29064042 is an abundant number, since it is smaller than the sum of its proper divisors (47981718).

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

29064042 is a wasteful number, since it uses less digits than its factorization.

29064042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 29064042 is about 5391.1076783904. The cubic root of 29064042 is about 307.4576741267.

The spelling of 29064042 in words is "twenty-nine million, sixty-four thousand, forty-two".