13678224 has 40 divisors (see below), whose sum is σ = 40384320. Its totient is φ = 3907968.

The previous prime is 13678219. The next prime is 13678241. The reversal of 13678224 is 42287631.

13678224 = 127² + 128² + ... + 350².

It is a super-3 number, since 3×13678224³ (a number of 22 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 20019 + ... + 20690.

It is an arithmetic number, because the mean of its divisors is an integer number (1009608).

Almost surely, 2^13678224 is an apocalyptic number.

13678224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13678224 is an abundant number, since it is smaller than the sum of its proper divisors (26706096).

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

13678224 is a wasteful number, since it uses less digits than its factorization.

13678224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40727 (or 40721 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 13678224 is about 3698.4083062853. The cubic root of 13678224 is about 239.1534060616.

It can be divided in two parts, 1367 and 8224, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 13678224 in words is "thirteen million, six hundred seventy-eight thousand, two hundred twenty-four".