13007088 has 40 divisors (see below), whose sum is σ = 37336400. Its totient is φ = 4335552.

The previous prime is 13007087. The next prime is 13007119. The reversal of 13007088 is 88070031.

13007088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 2 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13007087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14623 + ... + 15486.

It is an arithmetic number, because the mean of its divisors is an integer number (933410).

Almost surely, 2^13007088 is an apocalyptic number.

13007088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13007088 is an abundant number, since it is smaller than the sum of its proper divisors (24329312).

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

13007088 is a wasteful number, since it uses less digits than its factorization.

13007088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30126 (or 30114 counting only the distinct ones).

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

The square root of 13007088 is about 3606.5340702675. The cubic root of 13007088 is about 235.1761950085.

The spelling of 13007088 in words is "thirteen million, seven thousand, eighty-eight".