13681890 has 48 divisors (see below), whose sum is σ = 35765496. Its totient is φ = 3628800.

The previous prime is 13681883. The next prime is 13681891. The reversal of 13681890 is 9818631.

It can be written as a sum of positive squares in 4 ways, for example, as 11350161 + 2331729 = 3369^2 + 1527^2 .

It is a super-2 number, since 2×13681890² = 374388227944200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13681891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25020 + ... + 25560.

Almost surely, 2^13681890 is an apocalyptic number.

13681890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13681890 is an abundant number, since it is smaller than the sum of its proper divisors (22083606).

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

13681890 is a wasteful number, since it uses less digits than its factorization.

13681890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13681890 is about 3698.9038916955. The cubic root of 13681890 is about 239.1747698992.

The spelling of 13681890 in words is "thirteen million, six hundred eighty-one thousand, eight hundred ninety".