12653520 has 80 divisors (see below), whose sum is σ = 42800832. Its totient is φ = 3066880.

The previous prime is 12653513. The next prime is 12653533. The reversal of 12653520 is 2535621.

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

It is a super-2 number, since 2×12653520² = 320223136780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244 + ... + 5036.

Almost surely, 2^12653520 is an apocalyptic number.

12653520 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 12653520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21400416).

12653520 is an abundant number, since it is smaller than the sum of its proper divisors (30147312).

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

12653520 is a wasteful number, since it uses less digits than its factorization.

12653520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 12653520 is about 3557.1786573069. The cubic root of 12653520 is about 233.0256807026.

The spelling of 12653520 in words is "twelve million, six hundred fifty-three thousand, five hundred twenty".