14976800 has 72 divisors (see below), whose sum is σ = 37130436. Its totient is φ = 5898240.

The previous prime is 14976799. The next prime is 14976803. The reversal of 14976800 is 867941.

It can be written as a sum of positive squares in 6 ways, for example, as 3225616 + 11751184 = 1796^2 + 3428^2 .

It is not an unprimeable number, because it can be changed into a prime (14976803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77504 + ... + 77696.

Almost surely, 2^14976800 is an apocalyptic number.

14976800 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 14976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18565218).

14976800 is an abundant number, since it is smaller than the sum of its proper divisors (22153636).

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

14976800 is a wasteful number, since it uses less digits than its factorization.

14976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 14976800 is about 3869.9870800818. The cubic root of 14976800 is about 246.4939948917.

The spelling of 14976800 in words is "fourteen million, nine hundred seventy-six thousand, eight hundred".