29479968 has 108 divisors (see below), whose sum is σ = 97567470. Its totient is φ = 8418816.

The previous prime is 29479937. The next prime is 29479973. The reversal of 29479968 is 86997492.

It can be written as a sum of positive squares in only one way, i.e., 19820304 + 9659664 = 4452^2 + 3108^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13068 + ... + 15156.

Almost surely, 2^29479968 is an apocalyptic number.

29479968 is a gapful number since it is divisible by the number (28) 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 29479968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48783735).

29479968 is an abundant number, since it is smaller than the sum of its proper divisors (68087502).

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

29479968 is a wasteful number, since it uses less digits than its factorization.

29479968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2101 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 29479968 is about 5429.5458373606. The cubic root of 29479968 is about 308.9173750870.

The spelling of 29479968 in words is "twenty-nine million, four hundred seventy-nine thousand, nine hundred sixty-eight".