12540528 has 320 divisors, whose sum is σ = 49996800. Its totient is φ = 2903040.

The previous prime is 12540503. The next prime is 12540529. The reversal of 12540528 is 82504521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12540529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432418 + ... + 432446.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^12540528 is an apocalyptic number.

12540528 is a gapful number since it is divisible by the number (18) 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 12540528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

12540528 is an abundant number, since it is smaller than the sum of its proper divisors (37456272).

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

12540528 is a wasteful number, since it uses less digits than its factorization.

12540528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 12540528 is about 3541.2607924297. The cubic root of 12540528 is about 232.3299901790.

12540528 divided by its sum of digits (27) gives a palindrome (464464).

The spelling of 12540528 in words is "twelve million, five hundred forty thousand, five hundred twenty-eight".