12652640 has 192 divisors, whose sum is σ = 40642560. Its totient is φ = 3594240.

The previous prime is 12652597. The next prime is 12652649. The reversal of 12652640 is 4625621.

12652640 = T₃₁₅ + T₃₁₆ + ... + T₄₇₄.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12652649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160121 + ... + 160199.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^12652640 is an apocalyptic number.

12652640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12652640 is the 2054-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

12652640 is an abundant number, since it is smaller than the sum of its proper divisors (27989920).

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

12652640 is a wasteful number, since it uses less digits than its factorization.

12652640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 12652640 is about 3557.0549616220. The cubic root of 12652640 is about 233.0202785865.

The spelling of 12652640 in words is "twelve million, six hundred fifty-two thousand, six hundred forty".