14788896 has 48 divisors (see below), whose sum is σ = 39158784. Its totient is φ = 4886784.

The previous prime is 14788889. The next prime is 14788909. The reversal of 14788896 is 69888741.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×14788896² = 437422889797632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11586 + ... + 12798.

It is an arithmetic number, because the mean of its divisors is an integer number (815808).

Almost surely, 2^14788896 is an apocalyptic number.

14788896 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 14788896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19579392).

14788896 is an abundant number, since it is smaller than the sum of its proper divisors (24369888).

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

14788896 is a wasteful number, since it uses less digits than its factorization.

14788896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1345 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The square root of 14788896 is about 3845.6333678602. The cubic root of 14788896 is about 245.4587877057.

The spelling of 14788896 in words is "fourteen million, seven hundred eighty-eight thousand, eight hundred ninety-six".