14945760 has 144 divisors (see below), whose sum is σ = 52009776. Its totient is φ = 3907584.

The previous prime is 14945747. The next prime is 14945779. The reversal of 14945760 is 6754941.

14945760 is a `hidden beast` number, since 149 + 457 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139627 + ... + 139733.

It is an arithmetic number, because the mean of its divisors is an integer number (361179).

Almost surely, 2^14945760 is an apocalyptic number.

14945760 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 14945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26004888).

14945760 is an abundant number, since it is smaller than the sum of its proper divisors (37064016).

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

14945760 is a wasteful number, since it uses less digits than its factorization.

14945760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 14945760 is about 3865.9746507188. The cubic root of 14945760 is about 246.3235876512.

The spelling of 14945760 in words is "fourteen million, nine hundred forty-five thousand, seven hundred sixty".