29916906 has 64 divisors (see below), whose sum is σ = 68428800. Its totient is φ = 8660736.

The previous prime is 29916899. The next prime is 29916917. The reversal of 29916906 is 60961992.

It is a happy number.

It is a super-2 number, since 2×29916906² = 1790042529225672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83155 + ... + 83513.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 2^29916906 is an apocalyptic number.

29916906 is the 2924-th nonagonal number.

29916906 is an abundant number, since it is smaller than the sum of its proper divisors (38511894).

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

29916906 is a wasteful number, since it uses less digits than its factorization.

29916906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443.

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 29916906 is about 5469.6349055490. The cubic root of 29916906 is about 310.4361049001.

It can be divided in two parts, 299 and 16906, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 29916906 in words is "twenty-nine million, nine hundred sixteen thousand, nine hundred six".