13674000 has 160 divisors (see below), whose sum is σ = 45961344. Its totient is φ = 3494400.

The previous prime is 13673981. The next prime is 13674019. The reversal of 13674000 is 47631.

It is an interprime number because it is at equal distance from previous prime (13673981) and next prime (13674019).

It is a congruent number.

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, 257974 + ... + 258026.

Almost surely, 2^13674000 is an apocalyptic number.

13674000 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 13674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980672).

13674000 is an abundant number, since it is smaller than the sum of its proper divisors (32287344).

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

13674000 is a wasteful number, since it uses less digits than its factorization.

13674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 13674000 is about 3697.8372057190. The cubic root of 13674000 is about 239.1287857115.

The spelling of 13674000 in words is "thirteen million, six hundred seventy-four thousand".