13671400 has 48 divisors (see below), whose sum is σ = 33664140. Its totient is φ = 5145600.

The previous prime is 13671373. The next prime is 13671419. The reversal of 13671400 is 417631.

13671400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3392964 + 10278436 = 1842^2 + 3206^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1390 + ... + 5410.

Almost surely, 2^13671400 is an apocalyptic number.

13671400 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 13671400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16832070).

13671400 is an abundant number, since it is smaller than the sum of its proper divisors (19992740).

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

13671400 is a wasteful number, since it uses less digits than its factorization.

13671400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 13671400 is about 3697.4856321560. The cubic root of 13671400 is about 239.1136286189.

The spelling of 13671400 in words is "thirteen million, six hundred seventy-one thousand, four hundred".