14885696 has 56 divisors (see below), whose sum is σ = 34137600. Its totient is φ = 6308352.

The previous prime is 14885681. The next prime is 14885701. The reversal of 14885696 is 69658841.

14885696 = T₁ + T₂ + ... + T₄₄₆.

14885696 is a nontrivial binomial coefficient, being equal to C(448, 3).

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 14885696.

It is a congruent number.

It is an unprimeable number.

It is the 446-th tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66641 + ... + 66863.

It is an arithmetic number, because the mean of its divisors is an integer number (609600).

Almost surely, 2^14885696 is an apocalyptic number.

14885696 is a gapful number since it is divisible by the number (16) 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 14885696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068800).

14885696 is an abundant number, since it is smaller than the sum of its proper divisors (19251904).

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

14885696 is a wasteful number, since it uses less digits than its factorization.

14885696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

The product of its digits is 414720, while the sum is 47.

The square root of 14885696 is about 3858.1985433619. The cubic root of 14885696 is about 245.9931696608.

The spelling of 14885696 in words is "fourteen million, eight hundred eighty-five thousand, six hundred ninety-six".