13375880 has 128 divisors (see below), whose sum is σ = 37601280. Its totient is φ = 4181760.

The previous prime is 13375877. The next prime is 13375883. The reversal of 13375880 is 8857331.

It is an interprime number because it is at equal distance from previous prime (13375877) and next prime (13375883).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13375880.

It is not an unprimeable number, because it can be changed into a prime (13375883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199607 + ... + 199673.

It is an arithmetic number, because the mean of its divisors is an integer number (293760).

Almost surely, 2^13375880 is an apocalyptic number.

13375880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13375880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18800640).

13375880 is an abundant number, since it is smaller than the sum of its proper divisors (24225400).

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

13375880 is a wasteful number, since it uses less digits than its factorization.

13375880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 13375880 is about 3657.3050187262. The cubic root of 13375880 is about 237.3781757488.

The spelling of 13375880 in words is "thirteen million, three hundred seventy-five thousand, eight hundred eighty".