13536576 has 84 divisors (see below), whose sum is σ = 39465504. Its totient is φ = 4435200.

The previous prime is 13536563. The next prime is 13536587. The reversal of 13536576 is 67563531.

It is a happy number.

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

Its product of digits (56700) is a multiple of the sum of its prime factors (420).

It is a self number, because there is not a number n which added to its sum of digits gives 13536576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40731 + ... + 41061.

Almost surely, 2^13536576 is an apocalyptic number.

13536576 is a gapful number since it is divisible by the number (16) 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 13536576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19732752).

13536576 is an abundant number, since it is smaller than the sum of its proper divisors (25928928).

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

13536576 is a wasteful number, since it uses less digits than its factorization.

13536576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 407 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 13536576 is about 3679.2086105574. The cubic root of 13536576 is about 238.3250038112.

The spelling of 13536576 in words is "thirteen million, five hundred thirty-six thousand, five hundred seventy-six".