13628240 has 20 divisors (see below), whose sum is σ = 31685844. Its totient is φ = 5451264.

The previous prime is 13628227. The next prime is 13628257. The reversal of 13628240 is 4282631.

It can be written as a sum of positive squares in 2 ways, for example, as 5494336 + 8133904 = 2344^2 + 2852^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85097 + ... + 85256.

Almost surely, 2^13628240 is an apocalyptic number.

13628240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13628240 is an abundant number, since it is smaller than the sum of its proper divisors (18057604).

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

13628240 is a wasteful number, since it uses less digits than its factorization.

13628240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170366 (or 170360 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 13628240 is about 3691.6446199492. The cubic root of 13628240 is about 238.8617396785.

The spelling of 13628240 in words is "thirteen million, six hundred twenty-eight thousand, two hundred forty".