13508640 has 192 divisors, whose sum is σ = 48988800. Its totient is φ = 3474432.

The previous prime is 13508623. The next prime is 13508669. The reversal of 13508640 is 4680531.

13508640 is a `hidden beast` number, since 13 + 5 + 0 + 8 + 640 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228931 + ... + 228989.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 2^13508640 is an apocalyptic number.

13508640 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 13508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494400).

13508640 is an abundant number, since it is smaller than the sum of its proper divisors (35480160).

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

13508640 is a wasteful number, since it uses less digits than its factorization.

13508640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13508640 is about 3675.4101811907. The cubic root of 13508640 is about 238.1609437961.

The spelling of 13508640 in words is "thirteen million, five hundred eight thousand, six hundred forty".