14064768 has 96 divisors (see below), whose sum is σ = 41967900. Its totient is φ = 4515840.

The previous prime is 14064761. The next prime is 14064803. The reversal of 14064768 is 86746041.

14064768 is a `hidden beast` number, since 1 + 4 + 0 + 647 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 1617984 = 3528^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (14064761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33198 + ... + 33618.

Almost surely, 2^14064768 is an apocalyptic number.

14064768 is a gapful number since it is divisible by the number (18) 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 14064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20983950).

14064768 is an abundant number, since it is smaller than the sum of its proper divisors (27903132).

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

14064768 is a wasteful number, since it uses less digits than its factorization.

14064768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 14064768 is about 3750.3023878082. The cubic root of 14064768 is about 241.3853216312.

It can be divided in two parts, 140647 and 68, that added together give a triangular number (140715 = T₅₃₀).

The spelling of 14064768 in words is "fourteen million, sixty-four thousand, seven hundred sixty-eight".