14946920 has 64 divisors (see below), whose sum is σ = 36028800. Its totient is φ = 5564160.

The previous prime is 14946917. The next prime is 14946923. The reversal of 14946920 is 2964941.

It is an interprime number because it is at equal distance from previous prime (14946917) and next prime (14946923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14946923) 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, 53822 + ... + 54098.

It is an arithmetic number, because the mean of its divisors is an integer number (562950).

Almost surely, 2^14946920 is an apocalyptic number.

14946920 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 14946920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014400).

14946920 is an abundant number, since it is smaller than the sum of its proper divisors (21081880).

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

14946920 is a wasteful number, since it uses less digits than its factorization.

14946920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 14946920 is about 3866.1246746581. The cubic root of 14946920 is about 246.3299602048.

The spelling of 14946920 in words is "fourteen million, nine hundred forty-six thousand, nine hundred twenty".