13564980 has 288 divisors, whose sum is σ = 52835328. Its totient is φ = 2764800.

The previous prime is 13564961. The next prime is 13564981. The reversal of 13564980 is 8946531.

13564980 is a `hidden beast` number, since 1 + 3 + 5 + 649 + 8 + 0 = 666.

It is a super-3 number, since 3×13564980³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13564981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437565 + ... + 437595.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 2^13564980 is an apocalyptic number.

13564980 is a gapful number since it is divisible by the number (10) 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 13564980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

13564980 is an abundant number, since it is smaller than the sum of its proper divisors (39270348).

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

13564980 is a wasteful number, since it uses less digits than its factorization.

13564980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13564980 is about 3683.0666570129. The cubic root of 13564980 is about 238.4915809957.

It can be divided in two parts, 1356 and 4980, that added together give a palindrome (6336).

The spelling of 13564980 in words is "thirteen million, five hundred sixty-four thousand, nine hundred eighty".