13659840 has 280 divisors, whose sum is σ = 53108352. Its totient is φ = 3317760.

The previous prime is 13659839. The next prime is 13659869. The reversal of 13659840 is 4895631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13659795 and 13659804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440625 + ... + 440655.

Almost surely, 2^13659840 is an apocalyptic number.

13659840 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 13659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26554176).

13659840 is an abundant number, since it is smaller than the sum of its proper divisors (39448512).

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

13659840 is a wasteful number, since it uses less digits than its factorization.

13659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13659840 is about 3695.9220771007. The cubic root of 13659840 is about 239.0462145769.

The spelling of 13659840 in words is "thirteen million, six hundred fifty-nine thousand, eight hundred forty".