29823066 has 180 divisors, whose sum is σ = 88929918. Its totient is φ = 7402752.

The previous prime is 29823041. The next prime is 29823071. The reversal of 29823066 is 66032892.

It can be written as a sum of positive squares in 3 ways, for example, as 27342441 + 2480625 = 5229^2 + 1575^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29823066.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 1754290 + ... + 1754306.

Almost surely, 2^29823066 is an apocalyptic number.

29823066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29823066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44464959).

29823066 is an abundant number, since it is smaller than the sum of its proper divisors (59106852).

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

29823066 is a wasteful number, since it uses less digits than its factorization.

29823066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 29823066 is about 5461.0498990579. The cubic root of 29823066 is about 310.1111845368. Note that the first 4 decimals are identical.

The spelling of 29823066 in words is "twenty-nine million, eight hundred twenty-three thousand, sixty-six".