29338960 has 40 divisors (see below), whose sum is σ = 77959296. Its totient is φ = 10058880.

The previous prime is 29338913. The next prime is 29338963. The reversal of 29338960 is 6983392.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29338963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25636 + ... + 26755.

Almost surely, 2^29338960 is an apocalyptic number.

29338960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29338960 is an abundant number, since it is smaller than the sum of its proper divisors (48620336).

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

29338960 is a wasteful number, since it uses less digits than its factorization.

29338960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52411 (or 52405 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 29338960 is about 5416.5450242752. The cubic root of 29338960 is about 308.4240518710.

The spelling of 29338960 in words is "twenty-nine million, three hundred thirty-eight thousand, nine hundred sixty".