29993112 has 64 divisors (see below), whose sum is σ = 83865600. Its totient is φ = 9931680.

The previous prime is 29993111. The next prime is 29993137. The reversal of 29993112 is 21139992.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29993111) 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 15 ways as a sum of consecutive naturals, for example, 40893 + ... + 41619.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^29993112 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 29993112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41932800).

29993112 is an abundant number, since it is smaller than the sum of its proper divisors (53872488).

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

29993112 is a wasteful number, since it uses less digits than its factorization.

29993112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 923 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 29993112 is about 5476.5967534592. The cubic root of 29993112 is about 310.6994680890.

The spelling of 29993112 in words is "twenty-nine million, nine hundred ninety-three thousand, one hundred twelve".