29943120 has 160 divisors (see below), whose sum is σ = 101243520. Its totient is φ = 7290880.

The previous prime is 29943119. The next prime is 29943127. The reversal of 29943120 is 2134992.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29943127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167191 + ... + 167369.

It is an arithmetic number, because the mean of its divisors is an integer number (632772).

Almost surely, 2^29943120 is an apocalyptic number.

29943120 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 29943120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50621760).

29943120 is an abundant number, since it is smaller than the sum of its proper divisors (71300400).

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

29943120 is a wasteful number, since it uses less digits than its factorization.

29943120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 29943120 is about 5472.0307016683. The cubic root of 29943120 is about 310.5267492598.

The spelling of 29943120 in words is "twenty-nine million, nine hundred forty-three thousand, one hundred twenty".