13536964 has 24 divisors (see below), whose sum is σ = 28667520. Its totient is φ = 5460096.

The previous prime is 13536899. The next prime is 13536967. The reversal of 13536964 is 46963531.

13536964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13536967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13744 + ... + 14695.

It is an arithmetic number, because the mean of its divisors is an integer number (1194480).

Almost surely, 2^13536964 is an apocalyptic number.

13536964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13536964 is an abundant number, since it is smaller than the sum of its proper divisors (15130556).

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

13536964 is a wasteful number, since it uses less digits than its factorization.

13536964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28467 (or 28465 counting only the distinct ones).

The product of its digits is 58320, while the sum is 37.

The square root of 13536964 is about 3679.2613389103. The cubic root of 13536964 is about 238.3272808326.

The spelling of 13536964 in words is "thirteen million, five hundred thirty-six thousand, nine hundred sixty-four".