13074000 has 80 divisors (see below), whose sum is σ = 42169920. Its totient is φ = 3484800.

The previous prime is 13073999. The next prime is 13074007. The reversal of 13074000 is 47031.

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13074007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4911 + ... + 7089.

It is an arithmetic number, because the mean of its divisors is an integer number (527124).

Almost surely, 2^13074000 is an apocalyptic number.

13074000 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 13074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21084960).

13074000 is an abundant number, since it is smaller than the sum of its proper divisors (29095920).

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

13074000 is a wasteful number, since it uses less digits than its factorization.

13074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 13074000 is about 3615.7986669614. The cubic root of 13074000 is about 235.5787755811.

The spelling of 13074000 in words is "thirteen million, seventy-four thousand".