13087008 has 192 divisors, whose sum is σ = 44634240. Its totient is φ = 3732480.

The previous prime is 13086973. The next prime is 13087021. The reversal of 13087008 is 80078031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 769816 + ... + 769832.

It is an arithmetic number, because the mean of its divisors is an integer number (232470).

Almost surely, 2^13087008 is an apocalyptic number.

13087008 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 13087008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22317120).

13087008 is an abundant number, since it is smaller than the sum of its proper divisors (31547232).

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

13087008 is an equidigital number, since it uses as much as digits as its factorization.

13087008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 13087008 is about 3617.5969924800. The cubic root of 13087008 is about 235.6568795268.

The spelling of 13087008 in words is "thirteen million, eighty-seven thousand, eight".