12153840 has 80 divisors (see below), whose sum is σ = 38167200. Its totient is φ = 3198976.

The previous prime is 12153803. The next prime is 12153847. The reversal of 12153840 is 4835121.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12153840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12153847) 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, 21076 + ... + 21644.

It is an arithmetic number, because the mean of its divisors is an integer number (477090).

Almost surely, 2^12153840 is an apocalyptic number.

12153840 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 12153840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19083600).

12153840 is an abundant number, since it is smaller than the sum of its proper divisors (26013360).

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

12153840 is a wasteful number, since it uses less digits than its factorization.

12153840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 12153840 is about 3486.2357923698. The cubic root of 12153840 is about 229.9170463293.

Adding to 12153840 its reverse (4835121), we get a palindrome (16988961).

It can be divided in two parts, 1215 and 3840, that multiplied together give a square (4665600 = 2160²).

The spelling of 12153840 in words is "twelve million, one hundred fifty-three thousand, eight hundred forty".