13740800 has 108 divisors (see below), whose sum is σ = 36117480. Its totient is φ = 5160960.

The previous prime is 13740791. The next prime is 13740817. The reversal of 13740800 is 804731.

It is a happy number.

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, 121544 + ... + 121656.

Almost surely, 2^13740800 is an apocalyptic number.

13740800 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 13740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18058740).

13740800 is an abundant number, since it is smaller than the sum of its proper divisors (22376680).

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

13740800 is a wasteful number, since it uses less digits than its factorization.

13740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 13740800 is about 3706.8585082250. The cubic root of 13740800 is about 239.5175493407.

The spelling of 13740800 in words is "thirteen million, seven hundred forty thousand, eight hundred".