14968408 has 64 divisors (see below), whose sum is σ = 35784000. Its totient is φ = 5709312.

The previous prime is 14968357. The next prime is 14968417. The reversal of 14968408 is 80486941.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 20758 + ... + 21466.

It is an arithmetic number, because the mean of its divisors is an integer number (559125).

Almost surely, 2^14968408 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 14968408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17892000).

14968408 is an abundant number, since it is smaller than the sum of its proper divisors (20815592).

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

14968408 is a wasteful number, since it uses less digits than its factorization.

14968408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 14968408 is about 3868.9026868093. The cubic root of 14968408 is about 246.4479466908.

It can be divided in two parts, 14968 and 408, that added together give a square (15376 = 124²).

The spelling of 14968408 in words is "fourteen million, nine hundred sixty-eight thousand, four hundred eight".