14976000 has 264 divisors, whose sum is σ = 58118424. Its totient is φ = 3686400.

The previous prime is 14975993. The next prime is 14976001. The reversal of 14976000 is 67941.

14976000 = 5² + 6² + ... + 355².

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 12616704 = 1536^2 + 3552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14976001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151994 + ... + 1152006.

Almost surely, 2^14976000 is an apocalyptic number.

14976000 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 14976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29059212).

14976000 is an abundant number, since it is smaller than the sum of its proper divisors (43142424).

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

14976000 is a wasteful number, since it uses less digits than its factorization.

14976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14976000 is about 3869.8837191833. The cubic root of 14976000 is about 246.4896059100.

The spelling of 14976000 in words is "fourteen million, nine hundred seventy-six thousand".