13935564 has 66 divisors (see below), whose sum is σ = 37200660. Its totient is φ = 4566456.

The previous prime is 13935553. The next prime is 13935577. The reversal of 13935564 is 46553931.

13935564 is a `hidden beast` number, since 1 + 3 + 93 + 5 + 564 = 666.

13935564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 236167 + ... + 236225.

Almost surely, 2^13935564 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 13935564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600330).

13935564 is an abundant number, since it is smaller than the sum of its proper divisors (23265096).

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

13935564 is an frugal number, since it uses more digits than its factorization.

13935564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 13935564 is about 3733.0368334641. The cubic root of 13935564 is about 240.6438959468.

The spelling of 13935564 in words is "thirteen million, nine hundred thirty-five thousand, five hundred sixty-four".