13378608 has 140 divisors (see below), whose sum is σ = 41201728. Its totient is φ = 4199040.

The previous prime is 13378591. The next prime is 13378613. The reversal of 13378608 is 80687331.

13378608 is a `hidden beast` number, since 13 + 37 + 8 + 608 = 666.

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 27 ways as a sum of consecutive naturals, for example, 361566 + ... + 361602.

Almost surely, 2^13378608 is an apocalyptic number.

13378608 is a gapful number since it is divisible by the number (18) 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 13378608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20600864).

13378608 is an abundant number, since it is smaller than the sum of its proper divisors (27823120).

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

13378608 is an equidigital number, since it uses as much as digits as its factorization.

13378608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13378608 is about 3657.6779519252. The cubic root of 13378608 is about 237.3943123480.

The spelling of 13378608 in words is "thirteen million, three hundred seventy-eight thousand, six hundred eight".