13630890 has 64 divisors (see below), whose sum is σ = 40271616. Its totient is φ = 2875392.

The previous prime is 13630873. The next prime is 13630891. The reversal of 13630890 is 9803631.

13630890 = T₈₆₅ + T₈₆₆ + ... + T₈₉₉.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13630891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234 + ... + 5226.

It is an arithmetic number, because the mean of its divisors is an integer number (629244).

Almost surely, 2^13630890 is an apocalyptic number.

13630890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13630890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20135808).

13630890 is an abundant number, since it is smaller than the sum of its proper divisors (26640726).

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

13630890 is a wasteful number, since it uses less digits than its factorization.

13630890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13630890 is about 3692.0035211251. The cubic root of 13630890 is about 238.8772208311.

The spelling of 13630890 in words is "thirteen million, six hundred thirty thousand, eight hundred ninety".