13396640 has 48 divisors (see below), whose sum is σ = 32001480. Its totient is φ = 5299200.

The previous prime is 13396633. The next prime is 13396673. The reversal of 13396640 is 4669331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13162384 + 234256 = 3628^2 + 484^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13396597 and 13396606.

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, 15746 + ... + 16574.

Almost surely, 2^13396640 is an apocalyptic number.

13396640 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 13396640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16000740).

13396640 is an abundant number, since it is smaller than the sum of its proper divisors (18604840).

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

13396640 is a wasteful number, since it uses less digits than its factorization.

13396640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 13396640 is about 3660.1420737452. The cubic root of 13396640 is about 237.5009196640.

The spelling of 13396640 in words is "thirteen million, three hundred ninety-six thousand, six hundred forty".