12578160 has 80 divisors (see below), whose sum is σ = 44568576. Its totient is φ = 2874624.

The previous prime is 12578131. The next prime is 12578161. The reversal of 12578160 is 6187521.

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

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 (12578161) 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, 2064 + ... + 5423.

Almost surely, 2^12578160 is an apocalyptic number.

12578160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12578160 is an abundant number, since it is smaller than the sum of its proper divisors (31990416).

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

12578160 is a wasteful number, since it uses less digits than its factorization.

12578160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7510 (or 7504 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 12578160 is about 3546.5701741260. The cubic root of 12578160 is about 232.5621524207.

The spelling of 12578160 in words is "twelve million, five hundred seventy-eight thousand, one hundred sixty".