29416968 has 48 divisors (see below), whose sum is σ = 91054080. Its totient is φ = 8404704.

The previous prime is 29416939. The next prime is 29416973. The reversal of 29416968 is 86961492.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 28680 + ... + 29687.

It is an arithmetic number, because the mean of its divisors is an integer number (1896960).

Almost surely, 2^29416968 is an apocalyptic number.

29416968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29416968 is an abundant number, since it is smaller than the sum of its proper divisors (61637112).

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

29416968 is a wasteful number, since it uses less digits than its factorization.

29416968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58386 (or 58379 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 29416968 is about 5423.7411442656. The cubic root of 29416968 is about 308.6971614300.

The spelling of 29416968 in words is "twenty-nine million, four hundred sixteen thousand, nine hundred sixty-eight".