13550880 has 192 divisors, whose sum is σ = 50561280. Its totient is φ = 2985984.

The previous prime is 13550863. The next prime is 13550893. The reversal of 13550880 is 8805531.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124266 + ... + 124374.

It is an arithmetic number, because the mean of its divisors is an integer number (263340).

Almost surely, 2^13550880 is an apocalyptic number.

13550880 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 13550880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280640).

13550880 is an abundant number, since it is smaller than the sum of its proper divisors (37010400).

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

13550880 is a wasteful number, since it uses less digits than its factorization.

13550880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 13550880 is about 3681.1519936020. The cubic root of 13550880 is about 238.4089196849.

It can be divided in two parts, 135 and 50880, that added together give a palindrome (51015).

The spelling of 13550880 in words is "thirteen million, five hundred fifty thousand, eight hundred eighty".