29374968 has 32 divisors (see below), whose sum is σ = 83928960. Its totient is φ = 8392800.

The previous prime is 29374967. The next prime is 29374991. The reversal of 29374968 is 86947392.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29374967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87258 + ... + 87593.

It is an arithmetic number, because the mean of its divisors is an integer number (2622780).

Almost surely, 2^29374968 is an apocalyptic number.

29374968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29374968 is an abundant number, since it is smaller than the sum of its proper divisors (54553992).

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

29374968 is a wasteful number, since it uses less digits than its factorization.

29374968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174867 (or 174863 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 29374968 is about 5419.8678950690. The cubic root of 29374968 is about 308.5501775978.

The spelling of 29374968 in words is "twenty-nine million, three hundred seventy-four thousand, nine hundred sixty-eight".