14916480 has 128 divisors (see below), whose sum is σ = 50453280. Its totient is φ = 3735552.

The previous prime is 14916467. The next prime is 14916491. The reversal of 14916480 is 8461941.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32412 + ... + 32868.

Almost surely, 2^14916480 is an apocalyptic number.

14916480 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 14916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25226640).

14916480 is an abundant number, since it is smaller than the sum of its proper divisors (35536800).

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

14916480 is a wasteful number, since it uses less digits than its factorization.

14916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 14916480 is about 3862.1859095595. The cubic root of 14916480 is about 246.1626262894.

The spelling of 14916480 in words is "fourteen million, nine hundred sixteen thousand, four hundred eighty".