12542824 has 40 divisors (see below), whose sum is σ = 27477810. Its totient is φ = 5367264.

The previous prime is 12542813. The next prime is 12542833. The reversal of 12542824 is 42824521.

It can be written as a sum of positive squares in only one way, i.e., 11764900 + 777924 = 3430^2 + 882^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12542792 and 12542801.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18882 + ... + 19534.

Almost surely, 2^12542824 is an apocalyptic number.

12542824 is a gapful number since it is divisible by the number (14) 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 12542824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13738905).

12542824 is an abundant number, since it is smaller than the sum of its proper divisors (14934986).

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

12542824 is an frugal number, since it uses more digits than its factorization.

12542824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 662 counting only the distinct ones).

The product of its digits is 5120, while the sum is 28.

The square root of 12542824 is about 3541.5849559202. The cubic root of 12542824 is about 232.3441681335.

It can be divided in two parts, 12542 and 824, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 12542824 in words is "twelve million, five hundred forty-two thousand, eight hundred twenty-four".