29966112 has 120 divisors (see below), whose sum is σ = 96232752. Its totient is φ = 9072000.

The previous prime is 29966107. The next prime is 29966129. The reversal of 29966112 is 21166992.

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27987 + ... + 29037.

Almost surely, 2^29966112 is an apocalyptic number.

29966112 is a gapful number since it is divisible by the number (22) 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 29966112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48116376).

29966112 is an abundant number, since it is smaller than the sum of its proper divisors (66266640).

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

29966112 is a wasteful number, since it uses less digits than its factorization.

29966112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1067 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 29966112 is about 5474.1311639383. The cubic root of 29966112 is about 310.6062088529.

The spelling of 29966112 in words is "twenty-nine million, nine hundred sixty-six thousand, one hundred twelve".