29829920 has 24 divisors (see below), whose sum is σ = 70473564. Its totient is φ = 11931904.

The previous prime is 29829911. The next prime is 29829959. The reversal of 29829920 is 2992892.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27836176 + 1993744 = 5276^2 + 1412^2 .

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 3 ways as a sum of consecutive naturals, for example, 93059 + ... + 93378.

Almost surely, 2^29829920 is an apocalyptic number.

29829920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29829920 is an abundant number, since it is smaller than the sum of its proper divisors (40643644).

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

29829920 is a wasteful number, since it uses less digits than its factorization.

29829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186452 (or 186444 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 29829920 is about 5461.6773980161. The cubic root of 29829920 is about 310.1349395195.

The spelling of 29829920 in words is "twenty-nine million, eight hundred twenty-nine thousand, nine hundred twenty".