29368960 has 64 divisors (see below), whose sum is σ = 71022600. Its totient is φ = 11612160.

The previous prime is 29368949. The next prime is 29368973. The reversal of 29368960 is 6986392.

It can be written as a sum of positive squares in 4 ways, for example, as 16581184 + 12787776 = 4072^2 + 3576^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×29368960² = 1725071622963200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69550 + ... + 69970.

Almost surely, 2^29368960 is an apocalyptic number.

29368960 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 29368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35511300).

29368960 is an abundant number, since it is smaller than the sum of its proper divisors (41653640).

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

29368960 is a wasteful number, since it uses less digits than its factorization.

29368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 29368960 is about 5419.3136096742. The cubic root of 29368960 is about 308.5291404587.

The spelling of 29368960 in words is "twenty-nine million, three hundred sixty-eight thousand, nine hundred sixty".