14864880 has 80 divisors (see below), whose sum is σ = 46452384. Its totient is φ = 3932160.

The previous prime is 14864827. The next prime is 14864881. The reversal of 14864880 is 8846841.

14864880 = 666² + 667² + ... + 697².

14864880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14864881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57712 + ... + 57968.

Almost surely, 2^14864880 is an apocalyptic number.

14864880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3855×3856.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14864880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23226192).

14864880 is an abundant number, since it is smaller than the sum of its proper divisors (31587504).

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

14864880 is a wasteful number, since it uses less digits than its factorization.

14864880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 14864880 is about 3855.4999675788. The cubic root of 14864880 is about 245.8784514208.

The spelling of 14864880 in words is "fourteen million, eight hundred sixty-four thousand, eight hundred eighty".