13033680 has 80 divisors (see below), whose sum is σ = 44086464. Its totient is φ = 3159040.

The previous prime is 13033661. The next prime is 13033697. The reversal of 13033680 is 8633031.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13033680.

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, 172 + ... + 5108.

Almost surely, 2^13033680 is an apocalyptic number.

13033680 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 13033680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22043232).

13033680 is an abundant number, since it is smaller than the sum of its proper divisors (31052784).

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

13033680 is a wasteful number, since it uses less digits than its factorization.

13033680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13033680 is about 3610.2188299326. The cubic root of 13033680 is about 235.3363525165.

The spelling of 13033680 in words is "thirteen million, thirty-three thousand, six hundred eighty".