13474800 has 180 divisors, whose sum is σ = 49472280. Its totient is φ = 3386880.

The previous prime is 13474789. The next prime is 13474817. The reversal of 13474800 is 847431.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68302 + ... + 68498.

It is an arithmetic number, because the mean of its divisors is an integer number (274846).

Almost surely, 2^13474800 is an apocalyptic number.

13474800 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 13474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24736140).

13474800 is an abundant number, since it is smaller than the sum of its proper divisors (35997480).

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

13474800 is a wasteful number, since it uses less digits than its factorization.

13474800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13474800 is about 3670.8037267062. The cubic root of 13474800 is about 237.9619080811.

The spelling of 13474800 in words is "thirteen million, four hundred seventy-four thousand, eight hundred".