13652640 has 144 divisors (see below), whose sum is σ = 49140000. Its totient is φ = 3442176.

The previous prime is 13652633. The next prime is 13652651. The reversal of 13652640 is 4625631.

13652640 is a `hidden beast` number, since 1 + 3 + 652 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27111 + ... + 27609.

It is an arithmetic number, because the mean of its divisors is an integer number (341250).

Almost surely, 2^13652640 is an apocalyptic number.

13652640 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 13652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24570000).

13652640 is an abundant number, since it is smaller than the sum of its proper divisors (35487360).

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

13652640 is a wasteful number, since it uses less digits than its factorization.

13652640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13652640 is about 3694.9479022038. The cubic root of 13652640 is about 239.0042073686.

It can be divided in two parts, 1365 and 2640, that added together give a triangular number (4005 = T₈₉).

The spelling of 13652640 in words is "thirteen million, six hundred fifty-two thousand, six hundred forty".