13628461 has 16 divisors (see below), whose sum is σ = 17072640. Its totient is φ = 10568880.

The previous prime is 13628413. The next prime is 13628467. The reversal of 13628461 is 16482631.

It is a happy number.

It is not a de Polignac number, because 13628461 - 2¹¹ = 13626413 is a prime.

It is a Duffinian number.

Its product of digits (6912) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628467) 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, 28950 + ... + 29416.

It is an arithmetic number, because the mean of its divisors is an integer number (1067040).

Almost surely, 2^13628461 is an apocalyptic number.

13628461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13628461 is a deficient number, since it is larger than the sum of its proper divisors (3444179).

13628461 is a wasteful number, since it uses less digits than its factorization.

13628461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864.

The product of its digits is 6912, while the sum is 31.

The square root of 13628461 is about 3691.6745522865. The cubic root of 13628461 is about 238.8630308249.

The spelling of 13628461 in words is "thirteen million, six hundred twenty-eight thousand, four hundred sixty-one".