13678240 has 48 divisors (see below), whose sum is σ = 32944968. Its totient is φ = 5364736.

The previous prime is 13678219. The next prime is 13678241. The reversal of 13678240 is 4287631.

It can be written as a sum of positive squares in 4 ways, for example, as 12588304 + 1089936 = 3548^2 + 1044^2 .

It is not an unprimeable number, because it can be changed into a prime (13678241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7674 + ... + 9286.

Almost surely, 2^13678240 is an apocalyptic number.

13678240 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 13678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472484).

13678240 is an abundant number, since it is smaller than the sum of its proper divisors (19266728).

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

13678240 is a wasteful number, since it uses less digits than its factorization.

13678240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 13678240 is about 3698.4104693774. The cubic root of 13678240 is about 239.1534993108.

The spelling of 13678240 in words is "thirteen million, six hundred seventy-eight thousand, two hundred forty".