13475880 has 192 divisors, whose sum is σ = 49533120. Its totient is φ = 3148800.

The previous prime is 13475879. The next prime is 13475893. The reversal of 13475880 is 8857431.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 162319 + ... + 162401.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^13475880 is an apocalyptic number.

13475880 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 13475880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

13475880 is an abundant number, since it is smaller than the sum of its proper divisors (36057240).

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

13475880 is a wasteful number, since it uses less digits than its factorization.

13475880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 13475880 is about 3670.9508305070. The cubic root of 13475880 is about 237.9682654296.

It can be divided in two parts, 1347 and 5880, that added together give a palindrome (7227).

The spelling of 13475880 in words is "thirteen million, four hundred seventy-five thousand, eight hundred eighty".