13178880 has 288 divisors, whose sum is σ = 53660880. Its totient is φ = 2949120.

The previous prime is 13178861. The next prime is 13178881. The reversal of 13178880 is 8887131.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13178881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013754 + ... + 1013766.

Almost surely, 2^13178880 is an apocalyptic number.

13178880 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 13178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26830440).

13178880 is an abundant number, since it is smaller than the sum of its proper divisors (40482000).

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

13178880 is a wasteful number, since it uses less digits than its factorization.

13178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 13178880 is about 3630.2727170283. The cubic root of 13178880 is about 236.2070384633.

The spelling of 13178880 in words is "thirteen million, one hundred seventy-eight thousand, eight hundred eighty".