12763520 has 192 divisors, whose sum is σ = 39767760. Its totient is φ = 3870720.

The previous prime is 12763519. The next prime is 12763523. The reversal of 12763520 is 2536721.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12763520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12763523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344942 + ... + 344978.

Almost surely, 2^12763520 is an apocalyptic number.

12763520 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 12763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19883880).

12763520 is an abundant number, since it is smaller than the sum of its proper divisors (27004240).

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

12763520 is a wasteful number, since it uses less digits than its factorization.

12763520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 12763520 is about 3572.6068913330. The cubic root of 12763520 is about 233.6989822599.

The spelling of 12763520 in words is "twelve million, seven hundred sixty-three thousand, five hundred twenty".