14945120 has 24 divisors (see below), whose sum is σ = 35308224. Its totient is φ = 5977984.

The previous prime is 14945111. The next prime is 14945129. The reversal of 14945120 is 2154941.

It is an interprime number because it is at equal distance from previous prime (14945111) and next prime (14945129).

It is a super-2 number, since 2×14945120² = 446713223628800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14945120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14945129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46544 + ... + 46863.

It is an arithmetic number, because the mean of its divisors is an integer number (1471176).

Almost surely, 2^14945120 is an apocalyptic number.

14945120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14945120 is an abundant number, since it is smaller than the sum of its proper divisors (20363104).

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

14945120 is an equidigital number, since it uses as much as digits as its factorization.

14945120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93422 (or 93414 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 14945120 is about 3865.8918763980. The cubic root of 14945120 is about 246.3200716184.

The spelling of 14945120 in words is "fourteen million, nine hundred forty-five thousand, one hundred twenty".