14958768 has 80 divisors (see below), whose sum is σ = 43247232. Its totient is φ = 4416000.

The previous prime is 14958761. The next prime is 14958787. The reversal of 14958768 is 86785941.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14958761) 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, 21303 + ... + 21993.

Almost surely, 2^14958768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14958768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21623616).

14958768 is an abundant number, since it is smaller than the sum of its proper divisors (28288464).

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

14958768 is a wasteful number, since it uses less digits than its factorization.

14958768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 14958768 is about 3867.6566548751. The cubic root of 14958768 is about 246.3950292751.

The spelling of 14958768 in words is "fourteen million, nine hundred fifty-eight thousand, seven hundred sixty-eight".