29167968 has 48 divisors (see below), whose sum is σ = 79213680. Its totient is φ = 9386496.

The previous prime is 29167949. The next prime is 29168003. The reversal of 29167968 is 86976192.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 2455 + ... + 8022.

It is an arithmetic number, because the mean of its divisors is an integer number (1650285).

Almost surely, 2^29167968 is an apocalyptic number.

It is an amenable number.

29167968 is an abundant number, since it is smaller than the sum of its proper divisors (50045712).

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

29167968 is a wasteful number, since it uses less digits than its factorization.

29167968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10519 (or 10511 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 29167968 is about 5400.7377273850. The cubic root of 29167968 is about 307.8237030098.

It can be divided in two parts, 29167 and 968, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 29167968 in words is "twenty-nine million, one hundred sixty-seven thousand, nine hundred sixty-eight".