14696000 has 112 divisors (see below), whose sum is σ = 39940992. Its totient is φ = 5312000.

The previous prime is 14695991. The next prime is 14696029. The reversal of 14696000 is 69641.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87917 + ... + 88083.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 2^14696000 is an apocalyptic number.

14696000 is a gapful number since it is divisible by the number (10) 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 14696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970496).

14696000 is an abundant number, since it is smaller than the sum of its proper divisors (25244992).

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

14696000 is a wasteful number, since it uses less digits than its factorization.

14696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 14696000 is about 3833.5362265146. The cubic root of 14696000 is about 244.9437605190.

The spelling of 14696000 in words is "fourteen million, six hundred ninety-six thousand".