13546920 has 64 divisors (see below), whose sum is σ = 41184000. Its totient is φ = 3564288.

The previous prime is 13546919. The next prime is 13546937. The reversal of 13546920 is 2964531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8766 + ... + 10194.

It is an arithmetic number, because the mean of its divisors is an integer number (643500).

Almost surely, 2^13546920 is an apocalyptic number.

13546920 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 13546920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20592000).

13546920 is an abundant number, since it is smaller than the sum of its proper divisors (27637080).

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

13546920 is a wasteful number, since it uses less digits than its factorization.

13546920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 13546920 is about 3680.6140791993. The cubic root of 13546920 is about 238.3856938550.

The spelling of 13546920 in words is "thirteen million, five hundred forty-six thousand, nine hundred twenty".