29468712 has 128 divisors (see below), whose sum is σ = 92252160. Its totient is φ = 7637760.

The previous prime is 29468641. The next prime is 29468723. The reversal of 29468712 is 21786492.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224887 + ... + 225017.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 2^29468712 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 29468712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46126080).

29468712 is an abundant number, since it is smaller than the sum of its proper divisors (62783448).

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

29468712 is a wasteful number, since it uses less digits than its factorization.

29468712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

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

The square root of 29468712 is about 5428.5091876131. The cubic root of 29468712 is about 308.8780532825.

It can be divided in two parts, 294 and 68712, that added together give a triangular number (69006 = T₃₇₁).

The spelling of 29468712 in words is "twenty-nine million, four hundred sixty-eight thousand, seven hundred twelve".