13002080 has 192 divisors, whose sum is σ = 40642560. Its totient is φ = 3815424.

The previous prime is 13002079. The next prime is 13002083. The reversal of 13002080 is 8020031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276617 + ... + 276663.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^13002080 is an apocalyptic number.

13002080 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 13002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

13002080 is an abundant number, since it is smaller than the sum of its proper divisors (27640480).

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

13002080 is a wasteful number, since it uses less digits than its factorization.

13002080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 13002080 is about 3605.8397080292. The cubic root of 13002080 is about 235.1460085550.

The spelling of 13002080 in words is "thirteen million, two thousand, eighty".