12526416 has 180 divisors, whose sum is σ = 43549792. Its totient is φ = 3290112.

The previous prime is 12526379. The next prime is 12526417. The reversal of 12526416 is 61462521.

12526416 is a `hidden beast` number, since 12 + 5 + 2 + 641 + 6 = 666.

12526416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12526416² = 313822195610112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (2880) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12526416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12526417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 291291 + ... + 291333.

Almost surely, 2^12526416 is an apocalyptic number.

12526416 is a gapful number since it is divisible by the number (16) 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 12526416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21774896).

12526416 is an abundant number, since it is smaller than the sum of its proper divisors (31023376).

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

12526416 is a wasteful number, since it uses less digits than its factorization.

12526416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 12526416 is about 3539.2677208711. The cubic root of 12526416 is about 232.2428096014.

Adding to 12526416 its reverse (61462521), we get a palindrome (73988937).

The spelling of 12526416 in words is "twelve million, five hundred twenty-six thousand, four hundred sixteen".