12454960 has 80 divisors (see below), whose sum is σ = 34569216. Its totient is φ = 4080384.

The previous prime is 12454951. The next prime is 12454961. The reversal of 12454960 is 6945421.

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

It is not an unprimeable number, because it can be changed into a prime (12454961) 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, 12397 + ... + 13363.

Almost surely, 2^12454960 is an apocalyptic number.

12454960 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 12454960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17284608).

12454960 is an abundant number, since it is smaller than the sum of its proper divisors (22114256).

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

12454960 is a wasteful number, since it uses less digits than its factorization.

12454960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 12454960 is about 3529.1585399355. The cubic root of 12454960 is about 231.8003633386.

It can be divided in two parts, 124549 and 60, that added together give a square (124609 = 353²).

The spelling of 12454960 in words is "twelve million, four hundred fifty-four thousand, nine hundred sixty".