29911968 has 72 divisors (see below), whose sum is σ = 85595328. Its totient is φ = 9908352.

The previous prime is 29911951. The next prime is 29911979. The reversal of 29911968 is 86911992.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 81321 + ... + 81687.

It is an arithmetic number, because the mean of its divisors is an integer number (1188824).

Almost surely, 2^29911968 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 29911968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42797664).

29911968 is an abundant number, since it is smaller than the sum of its proper divisors (55683360).

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

29911968 is a wasteful number, since it uses less digits than its factorization.

29911968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 655 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 29911968 is about 5469.1834856768. The cubic root of 29911968 is about 310.4190240581.

The spelling of 29911968 in words is "twenty-nine million, nine hundred eleven thousand, nine hundred sixty-eight".