13217040 has 160 divisors (see below), whose sum is σ = 47318400. Its totient is φ = 3386880.

The previous prime is 13217033. The next prime is 13217089. The reversal of 13217040 is 4071231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62535 + ... + 62745.

It is an arithmetic number, because the mean of its divisors is an integer number (295740).

Almost surely, 2^13217040 is an apocalyptic number.

13217040 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 13217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23659200).

13217040 is an abundant number, since it is smaller than the sum of its proper divisors (34101360).

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

13217040 is a wasteful number, since it uses less digits than its factorization.

13217040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13217040 is about 3635.5247214123. The cubic root of 13217040 is about 236.4348012359.

Adding to 13217040 its reverse (4071231), we get a palindrome (17288271).

The spelling of 13217040 in words is "thirteen million, two hundred seventeen thousand, forty".