29274168 has 192 divisors, whose sum is σ = 97182720. Its totient is φ = 7257600.

The previous prime is 29274163. The next prime is 29274169. The reversal of 29274168 is 86147292.

29274168 = T₂₃₂ + T₂₃₃ + ... + T₅₇₂.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29274163) 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 47 ways as a sum of consecutive naturals, for example, 400980 + ... + 401052.

It is an arithmetic number, because the mean of its divisors is an integer number (506160).

Almost surely, 2^29274168 is an apocalyptic number.

29274168 is a gapful number since it is divisible by the number (28) 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 29274168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48591360).

29274168 is an abundant number, since it is smaller than the sum of its proper divisors (67908552).

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

29274168 is a wasteful number, since it uses less digits than its factorization.

29274168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 29274168 is about 5410.5607842441. The cubic root of 29274168 is about 308.1968438666.

The spelling of 29274168 in words is "twenty-nine million, two hundred seventy-four thousand, one hundred sixty-eight".