14755968 has 48 divisors (see below), whose sum is σ = 42465150. Its totient is φ = 4918272.

The previous prime is 14755967. The next prime is 14755981. The reversal of 14755968 is 86955741.

It can be written as a sum of positive squares in only one way, i.e., 13483584 + 1272384 = 3672^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (14755967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5253 + ... + 7556.

Almost surely, 2^14755968 is an apocalyptic number.

14755968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14755968 is an abundant number, since it is smaller than the sum of its proper divisors (27709182).

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

14755968 is a wasteful number, since it uses less digits than its factorization.

14755968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12829 (or 12814 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 14755968 is about 3841.3497627787. The cubic root of 14755968 is about 245.2764781083.

The spelling of 14755968 in words is "fourteen million, seven hundred fifty-five thousand, nine hundred sixty-eight".