29368640 has 84 divisors (see below), whose sum is σ = 81395316. Its totient is φ = 10063872.

The previous prime is 29368621. The next prime is 29368643. The reversal of 29368640 is 4686392.

It can be written as a sum of positive squares in 2 ways, for example, as 4528384 + 24840256 = 2128^2 + 4984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29368594 and 29368603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29368643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14744 + ... + 16616.

Almost surely, 2^29368640 is an apocalyptic number.

29368640 is a gapful number since it is divisible by the number (20) 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 29368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40697658).

29368640 is an abundant number, since it is smaller than the sum of its proper divisors (52026676).

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

29368640 is a wasteful number, since it uses less digits than its factorization.

29368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 29368640 is about 5419.2840855596. The cubic root of 29368640 is about 308.5280198915.

The spelling of 29368640 in words is "twenty-nine million, three hundred sixty-eight thousand, six hundred forty".