13486032 has 120 divisors (see below), whose sum is σ = 45729216. Its totient is φ = 3621888.

The previous prime is 13486013. The next prime is 13486051. The reversal of 13486032 is 23068431.

It is a happy number.

13486032 is a `hidden beast` number, since 13 + 48 + 603 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13486013) and next prime (13486051).

It is a junction number, because it is equal to n+sod(n) for n = 13485987 and 13486005.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16743 + ... + 17529.

Almost surely, 2^13486032 is an apocalyptic number.

13486032 is a gapful number since it is divisible by the number (12) 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 13486032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22864608).

13486032 is an abundant number, since it is smaller than the sum of its proper divisors (32243184).

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

13486032 is a wasteful number, since it uses less digits than its factorization.

13486032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13486032 is about 3672.3333182052. Note that the first 4 decimals coincide. The cubic root of 13486032 is about 238.0280079084.

The spelling of 13486032 in words is "thirteen million, four hundred eighty-six thousand, thirty-two".