13486464 has 96 divisors (see below), whose sum is σ = 40575600. Its totient is φ = 4291584.

The previous prime is 13486453. The next prime is 13486469. The reversal of 13486464 is 46468431.

13486464 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13486464² = 363769422446592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13486469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26242 + ... + 26750.

Almost surely, 2^13486464 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 13486464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20287800).

13486464 is an abundant number, since it is smaller than the sum of its proper divisors (27089136).

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

13486464 is a wasteful number, since it uses less digits than its factorization.

13486464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 13486464 is about 3672.3921359245. The cubic root of 13486464 is about 238.0305494764.

The spelling of 13486464 in words is "thirteen million, four hundred eighty-six thousand, four hundred sixty-four".