13416840 has 160 divisors (see below), whose sum is σ = 46652760. Its totient is φ = 3456000.

The previous prime is 13416833. The next prime is 13416847. The reversal of 13416840 is 4861431.

It is an interprime number because it is at equal distance from previous prime (13416833) and next prime (13416847).

It can be written as a sum of positive squares in 4 ways, for example, as 10850436 + 2566404 = 3294^2 + 1602^2 .

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13416847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132790 + ... + 132890.

Almost surely, 2^13416840 is an apocalyptic number.

13416840 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 13416840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23326380).

13416840 is an abundant number, since it is smaller than the sum of its proper divisors (33235920).

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

13416840 is a wasteful number, since it uses less digits than its factorization.

13416840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

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

The square root of 13416840 is about 3662.9004900488. The cubic root of 13416840 is about 237.6202309067.

The spelling of 13416840 in words is "thirteen million, four hundred sixteen thousand, eight hundred forty".