13578880 has 96 divisors (see below), whose sum is σ = 37849140. Its totient is φ = 4644864.

The previous prime is 13578857. The next prime is 13578919. The reversal of 13578880 is 8887531.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 1132096 = 3528^2 + 1064^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31144 + ... + 31576.

Almost surely, 2^13578880 is an apocalyptic number.

13578880 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 13578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18924570).

13578880 is an abundant number, since it is smaller than the sum of its proper divisors (24270260).

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

13578880 is an equidigital number, since it uses as much as digits as its factorization.

13578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 13578880 is about 3684.9531883051. The cubic root of 13578880 is about 238.5730137566.

The spelling of 13578880 in words is "thirteen million, five hundred seventy-eight thousand, eight hundred eighty".