13481640 has 192 divisors, whose sum is σ = 48484800. Its totient is φ = 3359232.

The previous prime is 13481639. The next prime is 13481681. The reversal of 13481640 is 4618431.

13481640 is a `hidden beast` number, since 13 + 4 + 8 + 1 + 640 = 666.

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184644 + ... + 184716.

It is an arithmetic number, because the mean of its divisors is an integer number (252525).

Almost surely, 2^13481640 is an apocalyptic number.

13481640 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 13481640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24242400).

13481640 is an abundant number, since it is smaller than the sum of its proper divisors (35003160).

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

13481640 is a wasteful number, since it uses less digits than its factorization.

13481640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13481640 is about 3671.7352845759. The cubic root of 13481640 is about 238.0021655524.

The spelling of 13481640 in words is "thirteen million, four hundred eighty-one thousand, six hundred forty".