29779968 has 96 divisors (see below), whose sum is σ = 82162080. Its totient is φ = 9584640.

The previous prime is 29779961. The next prime is 29779969. The reversal of 29779968 is 86997792.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (29779961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227263 + ... + 227393.

It is an arithmetic number, because the mean of its divisors is an integer number (855855).

Almost surely, 2^29779968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41081040).

29779968 is an abundant number, since it is smaller than the sum of its proper divisors (52382112).

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

29779968 is a wasteful number, since it uses less digits than its factorization.

29779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 57.

The square root of 29779968 is about 5457.1025278988. The cubic root of 29779968 is about 309.9617295801.

The spelling of 29779968 in words is "twenty-nine million, seven hundred seventy-nine thousand, nine hundred sixty-eight".