12958320 has 40 divisors (see below), whose sum is σ = 40171536. Its totient is φ = 3455488.

The previous prime is 12958313. The next prime is 12958321. The reversal of 12958320 is 2385921.

It is a happy number.

12958320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12958321) 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, 26757 + ... + 27236.

Almost surely, 2^12958320 is an apocalyptic number.

12958320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12958320 is an abundant number, since it is smaller than the sum of its proper divisors (27213216).

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

12958320 is a wasteful number, since it uses less digits than its factorization.

12958320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54009 (or 54003 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 12958320 is about 3599.7666591044. The cubic root of 12958320 is about 234.8819083747.

The spelling of 12958320 in words is "twelve million, nine hundred fifty-eight thousand, three hundred twenty".