29299968 has 126 divisors (see below), whose sum is σ = 88246634. Its totient is φ = 9704448.

The previous prime is 29299943. The next prime is 29299987. The reversal of 29299968 is 86999292.

It can be written as a sum of positive squares in only one way, i.e., 22581504 + 6718464 = 4752^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (1259712) is a multiple of the sum of its prime divisors (162).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 186546 + ... + 186702.

Almost surely, 2^29299968 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 29299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44123317).

29299968 is an abundant number, since it is smaller than the sum of its proper divisors (58946666).

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

29299968 is an frugal number, since it uses more digits than its factorization.

29299968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 162 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 29299968 is about 5412.9444852132. The cubic root of 29299968 is about 308.2873576121.

The spelling of 29299968 in words is "twenty-nine million, two hundred ninety-nine thousand, nine hundred sixty-eight".