12733680 has 80 divisors (see below), whose sum is σ = 41809824. Its totient is φ = 3194880.

The previous prime is 12733673. The next prime is 12733691. The reversal of 12733680 is 8633721.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2520 + ... + 5640.

Almost surely, 2^12733680 is an apocalyptic number.

12733680 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 12733680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20904912).

12733680 is an abundant number, since it is smaller than the sum of its proper divisors (29076144).

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

12733680 is a wasteful number, since it uses less digits than its factorization.

12733680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 12733680 is about 3568.4282254236. The cubic root of 12733680 is about 233.5167175127.

The spelling of 12733680 in words is "twelve million, seven hundred thirty-three thousand, six hundred eighty".