12754560 has 256 divisors, whose sum is σ = 50722560. Its totient is φ = 2654208.

The previous prime is 12754559. The next prime is 12754579. The reversal of 12754560 is 6545721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174684 + ... + 174756.

It is an arithmetic number, because the mean of its divisors is an integer number (198135).

Almost surely, 2^12754560 is an apocalyptic number.

12754560 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 12754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25361280).

12754560 is an abundant number, since it is smaller than the sum of its proper divisors (37968000).

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

12754560 is a wasteful number, since it uses less digits than its factorization.

12754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 12754560 is about 3571.3526849081. The cubic root of 12754560 is about 233.6442838420.

The spelling of 12754560 in words is "twelve million, seven hundred fifty-four thousand, five hundred sixty".