12960920 has 64 divisors (see below), whose sum is σ = 34171200. Its totient is φ = 4331520.

The previous prime is 12960911. The next prime is 12960923. The reversal of 12960920 is 2906921.

12960920 = T₄₂₄ + T₄₂₅ + ... + T₅₃₅.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12960923) 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, 10916 + ... + 12044.

It is an arithmetic number, because the mean of its divisors is an integer number (533925).

Almost surely, 2^12960920 is an apocalyptic number.

12960920 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 12960920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17085600).

12960920 is an abundant number, since it is smaller than the sum of its proper divisors (21210280).

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

12960920 is a wasteful number, since it uses less digits than its factorization.

12960920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 12960920 is about 3600.1277755102. The cubic root of 12960920 is about 234.8976164840.

The spelling of 12960920 in words is "twelve million, nine hundred sixty thousand, nine hundred twenty".