12535376 has 60 divisors (see below), whose sum is σ = 28837440. Its totient is φ = 5261760.

The previous prime is 12535373. The next prime is 12535399. The reversal of 12535376 is 67353521.

12535376 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12535376² = 314271302922752, which contains 22 as substring.

12535376 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12535373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46121 + ... + 46391.

It is an arithmetic number, because the mean of its divisors is an integer number (480624).

Almost surely, 2^12535376 is an apocalyptic number.

12535376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12535376 is the 2891-st pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12535376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418720).

12535376 is an abundant number, since it is smaller than the sum of its proper divisors (16302064).

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

12535376 is a wasteful number, since it uses less digits than its factorization.

12535376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its digits is 18900, while the sum is 32.

The square root of 12535376 is about 3540.5332931636. The cubic root of 12535376 is about 232.2981699328.

Adding to 12535376 its reverse (67353521), we get a palindrome (79888897).

The spelling of 12535376 in words is "twelve million, five hundred thirty-five thousand, three hundred seventy-six".