13774000 has 80 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 5376000.

The previous prime is 13773979. The next prime is 13774001. The reversal of 13774000 is 47731.

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

It is not an unprimeable number, because it can be changed into a prime (13774001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141952 + ... + 142048.

Almost surely, 2^13774000 is an apocalyptic number.

13774000 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 13774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

13774000 is an abundant number, since it is smaller than the sum of its proper divisors (20348816).

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

13774000 is an equidigital number, since it uses as much as digits as its factorization.

13774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 13774000 is about 3711.3339919765. Note that the first 3 decimals coincide. The cubic root of 13774000 is about 239.7102985934.

The spelling of 13774000 in words is "thirteen million, seven hundred seventy-four thousand".