13642880 has 32 divisors (see below), whose sum is σ = 32616540. Its totient is φ = 5456896.

The previous prime is 13642879. The next prime is 13642901. The reversal of 13642880 is 8824631.

13642880 = T₁₉₀ + T₁₉₁ + ... + T₄₄₅.

It can be written as a sum of positive squares in 2 ways, for example, as 12334144 + 1308736 = 3512^2 + 1144^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×13642880² = 372256349388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10019 + ... + 11298.

Almost surely, 2^13642880 is an apocalyptic number.

13642880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13642880 is an abundant number, since it is smaller than the sum of its proper divisors (18973660).

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

13642880 is an equidigital number, since it uses as much as digits as its factorization.

13642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21336 (or 21324 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 13642880 is about 3693.6269438047. The cubic root of 13642880 is about 238.9472406782.

The spelling of 13642880 in words is "thirteen million, six hundred forty-two thousand, eight hundred eighty".