14765920 has 96 divisors (see below), whose sum is σ = 38949120. Its totient is φ = 5253120.

The previous prime is 14765917. The next prime is 14765921. The reversal of 14765920 is 2956741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14765921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64366 + ... + 64594.

It is an arithmetic number, because the mean of its divisors is an integer number (405720).

Almost surely, 2^14765920 is an apocalyptic number.

14765920 is a gapful number since it is divisible by the number (10) 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 14765920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474560).

14765920 is an abundant number, since it is smaller than the sum of its proper divisors (24183200).

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

14765920 is a wasteful number, since it uses less digits than its factorization.

14765920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 14765920 is about 3842.6449224460. The cubic root of 14765920 is about 245.3316070557.

It can be divided in two parts, 1476 and 5920, that added together give a square (7396 = 86²).

The spelling of 14765920 in words is "fourteen million, seven hundred sixty-five thousand, nine hundred twenty".