14968080 has 60 divisors (see below), whose sum is σ = 50270220. Its totient is φ = 3991296.

The previous prime is 14968073. The next prime is 14968087. The reversal of 14968080 is 8086941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14968073) and next prime (14968087).

It can be written as a sum of positive squares in 2 ways, for example, as 9659664 + 5308416 = 3108^2 + 2304^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (14968087) 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, 9675 + ... + 11114.

It is an arithmetic number, because the mean of its divisors is an integer number (837837).

Almost surely, 2^14968080 is an apocalyptic number.

14968080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14968080 is an abundant number, since it is smaller than the sum of its proper divisors (35302140).

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

14968080 is a wasteful number, since it uses less digits than its factorization.

14968080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20808 (or 20799 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 14968080 is about 3868.8602972969. The cubic root of 14968080 is about 246.4461465546.

The spelling of 14968080 in words is "fourteen million, nine hundred sixty-eight thousand, eighty".