13613040 has 240 divisors, whose sum is σ = 54395328. Its totient is φ = 2985984.

The previous prime is 13613029. The next prime is 13613051. The reversal of 13613040 is 4031631.

13613040 is a `hidden beast` number, since 1 + 361 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13613029) and next prime (13613051).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186444 + ... + 186516.

Almost surely, 2^13613040 is an apocalyptic number.

13613040 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 13613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27197664).

13613040 is an abundant number, since it is smaller than the sum of its proper divisors (40782288).

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

13613040 is a wasteful number, since it uses less digits than its factorization.

13613040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13613040 is about 3689.5853425554. The cubic root of 13613040 is about 238.7729033335.

Adding to 13613040 its reverse (4031631), we get a palindrome (17644671).

The spelling of 13613040 in words is "thirteen million, six hundred thirteen thousand, forty".