29968092 has 144 divisors (see below), whose sum is σ = 99590400. Its totient is φ = 7361280.

The previous prime is 29968087. The next prime is 29968117. The reversal of 29968092 is 29086992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52384 + ... + 52952.

It is an arithmetic number, because the mean of its divisors is an integer number (691600).

Almost surely, 2^29968092 is an apocalyptic number.

29968092 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 29968092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49795200).

29968092 is an abundant number, since it is smaller than the sum of its proper divisors (69622308).

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

29968092 is a wasteful number, since it uses less digits than its factorization.

29968092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 29968092 is about 5474.3120115682. The cubic root of 29968092 is about 310.6130497665.

The spelling of 29968092 in words is "twenty-nine million, nine hundred sixty-eight thousand, ninety-two".