13946460 has 144 divisors (see below), whose sum is σ = 45849888. Its totient is φ = 3153920.

The previous prime is 13946411. The next prime is 13946461. The reversal of 13946460 is 6464931.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13946461) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 123364 + ... + 123476.

It is an arithmetic number, because the mean of its divisors is an integer number (318402).

Almost surely, 2^13946460 is an apocalyptic number.

13946460 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 13946460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22924944).

13946460 is an abundant number, since it is smaller than the sum of its proper divisors (31903428).

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

13946460 is a wasteful number, since it uses less digits than its factorization.

13946460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 13946460 is about 3734.4959499242. The cubic root of 13946460 is about 240.7065981765.

The spelling of 13946460 in words is "thirteen million, nine hundred forty-six thousand, four hundred sixty".