12752640 has 216 divisors, whose sum is σ = 46873008. Its totient is φ = 3317760.

The previous prime is 12752609. The next prime is 12752653. The reversal of 12752640 is 4625721.

12752640 is a `hidden beast` number, since 12 + 7 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311020 + ... + 311060.

It is a vampire number, since it can be written as 2214 ⋅ 5760 (with its own digits).

Almost surely, 2^12752640 is an apocalyptic number.

12752640 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 12752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436504).

12752640 is an abundant number, since it is smaller than the sum of its proper divisors (34120368).

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

12752640 is an frugal number, since it uses more digits than its factorization.

12752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12752640 is about 3571.0838690795. The cubic root of 12752640 is about 233.6325594198.

The spelling of 12752640 in words is "twelve million, seven hundred fifty-two thousand, six hundred forty".