29068416 has 128 divisors (see below), whose sum is σ = 92534400. Its totient is φ = 8930304.

The previous prime is 29068339. The next prime is 29068439. The reversal of 29068416 is 61486092.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 44605 + ... + 45251.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 2^29068416 is an apocalyptic number.

29068416 is a gapful number since it is divisible by the number (26) 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 29068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267200).

29068416 is an abundant number, since it is smaller than the sum of its proper divisors (63465984).

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

29068416 is a wasteful number, since it uses less digits than its factorization.

29068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 29068416 is about 5391.5133311530. The cubic root of 29068416 is about 307.4730969920.

The spelling of 29068416 in words is "twenty-nine million, sixty-eight thousand, four hundred sixteen".