12153680 has 80 divisors (see below), whose sum is σ = 35247744. Its totient is φ = 3786240.

The previous prime is 12153679. The next prime is 12153703. The reversal of 12153680 is 8635121.

12153680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 5174 + ... + 7146.

Almost surely, 2^12153680 is an apocalyptic number.

12153680 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 12153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17623872).

12153680 is an abundant number, since it is smaller than the sum of its proper divisors (23094064).

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

12153680 is a wasteful number, since it uses less digits than its factorization.

12153680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 12153680 is about 3486.2128449078. The cubic root of 12153680 is about 229.9160374057.

It can be divided in two parts, 12 and 153680, that multiplied together give a triangular number (1844160 = T₁₉₂₀).

The spelling of 12153680 in words is "twelve million, one hundred fifty-three thousand, six hundred eighty".