13417640 has 32 divisors (see below), whose sum is σ = 30537000. Its totient is φ = 5305344.

The previous prime is 13417631. The next prime is 13417669. The reversal of 13417640 is 4671431.

13417640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10876804 + 2540836 = 3298^2 + 1594^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1676 + ... + 5444.

Almost surely, 2^13417640 is an apocalyptic number.

13417640 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 13417640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15268500).

13417640 is an abundant number, since it is smaller than the sum of its proper divisors (17119360).

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

13417640 is a wasteful number, since it uses less digits than its factorization.

13417640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 13417640 is about 3663.0096914969. The cubic root of 13417640 is about 237.6249536384.

The spelling of 13417640 in words is "thirteen million, four hundred seventeen thousand, six hundred forty".