12058640 has 80 divisors (see below), whose sum is σ = 31176576. Its totient is φ = 4300800.

The previous prime is 12058621. The next prime is 12058679. The reversal of 12058640 is 4685021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62384 + ... + 62576.

Almost surely, 2^12058640 is an apocalyptic number.

12058640 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 12058640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15588288).

12058640 is an abundant number, since it is smaller than the sum of its proper divisors (19117936).

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

12058640 is a wasteful number, since it uses less digits than its factorization.

12058640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 12058640 is about 3472.5552551399. Note that the first 3 decimals coincide. The cubic root of 12058640 is about 229.3151651673.

The spelling of 12058640 in words is "twelve million, fifty-eight thousand, six hundred forty".