14656920 has 64 divisors (see below), whose sum is σ = 44651520. Its totient is φ = 3848064.

The previous prime is 14656909. The next prime is 14656927. The reversal of 14656920 is 2965641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14656927) 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, 7129 + ... + 8951.

It is an arithmetic number, because the mean of its divisors is an integer number (697680).

Almost surely, 2^14656920 is an apocalyptic number.

14656920 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 14656920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325760).

14656920 is an abundant number, since it is smaller than the sum of its proper divisors (29994600).

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

14656920 is a wasteful number, since it uses less digits than its factorization.

14656920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 14656920 is about 3828.4357118802. The cubic root of 14656920 is about 244.7264474229.

It can be divided in two parts, 14656 and 920, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 14656920 in words is "fourteen million, six hundred fifty-six thousand, nine hundred twenty".