12958080 has 128 divisors (see below), whose sum is σ = 43843680. Its totient is φ = 3244032.

The previous prime is 12958079. The next prime is 12958087. The reversal of 12958080 is 8085921.

12958080 = 85² + 86² + ... + 340².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12958087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32442 + ... + 32838.

Almost surely, 2^12958080 is an apocalyptic number.

12958080 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 12958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21921840).

12958080 is an abundant number, since it is smaller than the sum of its proper divisors (30885600).

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

12958080 is a wasteful number, since it uses less digits than its factorization.

12958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 12958080 is about 3599.7333234561. The cubic root of 12958080 is about 234.8804582894.

The spelling of 12958080 in words is "twelve million, nine hundred fifty-eight thousand, eighty".