12090624 has 144 divisors (see below), whose sum is σ = 39833472. Its totient is φ = 3170304.

The previous prime is 12090623. The next prime is 12090641. The reversal of 12090624 is 42609021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12090594 and 12090603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12090623) 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, 69802 + ... + 69974.

Almost surely, 2^12090624 is an apocalyptic number.

12090624 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 12090624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19916736).

12090624 is an abundant number, since it is smaller than the sum of its proper divisors (27742848).

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

12090624 is a wasteful number, since it uses less digits than its factorization.

12090624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12090624 is about 3477.1574597651. The cubic root of 12090624 is about 229.5177292278.

Adding to 12090624 its reverse (42609021), we get a palindrome (54699645).

The spelling of 12090624 in words is "twelve million, ninety thousand, six hundred twenty-four".