13610880 has 192 divisors, whose sum is σ = 50122800. Its totient is φ = 3391488.

The previous prime is 13610867. The next prime is 13610899. The reversal of 13610880 is 8801631.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97851 + ... + 97989.

Almost surely, 2^13610880 is an apocalyptic number.

13610880 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 13610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25061400).

13610880 is an abundant number, since it is smaller than the sum of its proper divisors (36511920).

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

13610880 is a wasteful number, since it uses less digits than its factorization.

13610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 13610880 is about 3689.2926151229. The cubic root of 13610880 is about 238.7602738559.

Subtracting from 13610880 its reverse (8801631), we obtain a square (4809249 = 2193²).

The spelling of 13610880 in words is "thirteen million, six hundred ten thousand, eight hundred eighty".