14904960 has 128 divisors (see below), whose sum is σ = 54345600. Its totient is φ = 3403776.

The previous prime is 14904941. The next prime is 14904973. The reversal of 14904960 is 6940941.

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

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, 12886 + ... + 13994.

It is an arithmetic number, because the mean of its divisors is an integer number (424575).

Almost surely, 2^14904960 is an apocalyptic number.

14904960 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 14904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172800).

14904960 is an abundant number, since it is smaller than the sum of its proper divisors (39440640).

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

14904960 is a wasteful number, since it uses less digits than its factorization.

14904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 14904960 is about 3860.6942380872. The cubic root of 14904960 is about 246.0992394895.

The spelling of 14904960 in words is "fourteen million, nine hundred four thousand, nine hundred sixty".