13536720 has 100 divisors (see below), whose sum is σ = 47037540. Its totient is φ = 3608064.

The previous prime is 13536703. The next prime is 13536737. The reversal of 13536720 is 2763531.

It is a happy number.

13536720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13536703) and next prime (13536737).

It can be written as a sum of positive squares in 2 ways, for example, as 8714304 + 4822416 = 2952^2 + 2196^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5436 + ... + 7524.

Almost surely, 2^13536720 is an apocalyptic number.

13536720 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 13536720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23518770).

13536720 is an abundant number, since it is smaller than the sum of its proper divisors (33500820).

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

13536720 is a wasteful number, since it uses less digits than its factorization.

13536720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 13536720 is about 3679.2281799312. The cubic root of 13536720 is about 238.3258488964.

The spelling of 13536720 in words is "thirteen million, five hundred thirty-six thousand, seven hundred twenty".