13528080 has 80 divisors (see below), whose sum is σ = 46604160. Its totient is φ = 3606912.

The previous prime is 13528079. The next prime is 13528093. The reversal of 13528080 is 8082531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972 + ... + 5291.

It is an arithmetic number, because the mean of its divisors is an integer number (582552).

Almost surely, 2^13528080 is an apocalyptic number.

13528080 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 13528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23302080).

13528080 is an abundant number, since it is smaller than the sum of its proper divisors (33076080).

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

13528080 is a wasteful number, since it uses less digits than its factorization.

13528080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6285 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13528080 is about 3678.0538332113. The cubic root of 13528080 is about 238.2751331745.

The spelling of 13528080 in words is "thirteen million, five hundred twenty-eight thousand, eighty".