12153640 has 64 divisors (see below), whose sum is σ = 29529360. Its totient is φ = 4485120.

The previous prime is 12153619. The next prime is 12153653. The reversal of 12153640 is 4635121.

12153640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6687396 + 5466244 = 2586^2 + 2338^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41334 + ... + 41626.

Almost surely, 2^12153640 is an apocalyptic number.

12153640 is a gapful number since it is divisible by the number (10) 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 12153640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764680).

12153640 is an abundant number, since it is smaller than the sum of its proper divisors (17375720).

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

12153640 is a wasteful number, since it uses less digits than its factorization.

12153640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 12153640 is about 3486.2071080187. The cubic root of 12153640 is about 229.9157851734.

Adding to 12153640 its reverse (4635121), we get a palindrome (16788761).

The spelling of 12153640 in words is "twelve million, one hundred fifty-three thousand, six hundred forty".