13473768 has 128 divisors (see below), whose sum is σ = 43960320. Its totient is φ = 3336960.

The previous prime is 13473751. The next prime is 13473787. The reversal of 13473768 is 86737431.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42346 + ... + 42662.

It is an arithmetic number, because the mean of its divisors is an integer number (343440).

Almost surely, 2^13473768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13473768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21980160).

13473768 is an abundant number, since it is smaller than the sum of its proper divisors (30486552).

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

13473768 is a wasteful number, since it uses less digits than its factorization.

13473768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 13473768 is about 3670.6631553440. The cubic root of 13473768 is about 237.9558329642.

It can be divided in two parts, 13473 and 768, that added together give a palindrome (14241).

The spelling of 13473768 in words is "thirteen million, four hundred seventy-three thousand, seven hundred sixty-eight".