12533640 has 128 divisors (see below), whose sum is σ = 44098560. Its totient is φ = 2790144.

The previous prime is 12533629. The next prime is 12533657. The reversal of 12533640 is 4633521.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12533640.

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, 35947 + ... + 36293.

It is an arithmetic number, because the mean of its divisors is an integer number (344520).

Almost surely, 2^12533640 is an apocalyptic number.

12533640 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 12533640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22049280).

12533640 is an abundant number, since it is smaller than the sum of its proper divisors (31564920).

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

12533640 is a wasteful number, since it uses less digits than its factorization.

12533640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 12533640 is about 3540.2881238679. The cubic root of 12533640 is about 232.2874459296.

The spelling of 12533640 in words is "twelve million, five hundred thirty-three thousand, six hundred forty".