14746968 has 64 divisors (see below), whose sum is σ = 41616000. Its totient is φ = 4837536.

The previous prime is 14746967. The next prime is 14746969. The reversal of 14746968 is 86964741.

It is an interprime number because it is at equal distance from previous prime (14746967) and next prime (14746969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14746967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13963 + ... + 14981.

It is an arithmetic number, because the mean of its divisors is an integer number (650250).

Almost surely, 2^14746968 is an apocalyptic number.

14746968 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 14746968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20808000).

14746968 is an abundant number, since it is smaller than the sum of its proper divisors (26869032).

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

14746968 is a wasteful number, since it uses less digits than its factorization.

14746968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1091 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 14746968 is about 3840.1781208689. The cubic root of 14746968 is about 245.2266014019.

The spelling of 14746968 in words is "fourteen million, seven hundred forty-six thousand, nine hundred sixty-eight".