13677120 has 112 divisors (see below), whose sum is σ = 48280320. Its totient is φ = 3644928.

The previous prime is 13677109. The next prime is 13677137. The reversal of 13677120 is 2177631.

It is a super-2 number, since 2×13677120² = 374127222988800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7849 + ... + 9431.

Almost surely, 2^13677120 is an apocalyptic number.

13677120 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 13677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24140160).

13677120 is an abundant number, since it is smaller than the sum of its proper divisors (34603200).

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

13677120 is a wasteful number, since it uses less digits than its factorization.

13677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 13677120 is about 3698.2590498774. The cubic root of 13677120 is about 239.1469716867.

The spelling of 13677120 in words is "thirteen million, six hundred seventy-seven thousand, one hundred twenty".