13375890 has 96 divisors (see below), whose sum is σ = 38750400. Its totient is φ = 3173760.

The previous prime is 13375883. The next prime is 13375909. The reversal of 13375890 is 9857331.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58296 + ... + 58524.

It is an arithmetic number, because the mean of its divisors is an integer number (403650).

Almost surely, 2^13375890 is an apocalyptic number.

13375890 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 13375890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375200).

13375890 is an abundant number, since it is smaller than the sum of its proper divisors (25374510).

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

13375890 is a wasteful number, since it uses less digits than its factorization.

13375890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 13375890 is about 3657.3063858528. The cubic root of 13375890 is about 237.3782349045.

It can be divided in two parts, 1337 and 5890, that added together give a palindrome (7227).

The spelling of 13375890 in words is "thirteen million, three hundred seventy-five thousand, eight hundred ninety".