29059968 has 128 divisors (see below), whose sum is σ = 93024000. Its totient is φ = 7852032.

The previous prime is 29059967. The next prime is 29059969. The reversal of 29059968 is 86995092.

It is an interprime number because it is at equal distance from previous prime (29059967) and next prime (29059969).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×29059968² = 1688963480322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29059963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50788 + ... + 51356.

It is an arithmetic number, because the mean of its divisors is an integer number (726750).

Almost surely, 2^29059968 is an apocalyptic number.

29059968 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 29059968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46512000).

29059968 is an abundant number, since it is smaller than the sum of its proper divisors (63964032).

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

29059968 is a wasteful number, since it uses less digits than its factorization.

29059968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 29059968 is about 5390.7298207200. The cubic root of 29059968 is about 307.4433076793.

The spelling of 29059968 in words is "twenty-nine million, fifty-nine thousand, nine hundred sixty-eight".