13755720 has 128 divisors (see below), whose sum is σ = 47744640. Its totient is φ = 3133440.

The previous prime is 13755719. The next prime is 13755727. The reversal of 13755720 is 2755731.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is not an unprimeable number, because it can be changed into a prime (13755727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22134 + ... + 22746.

It is an arithmetic number, because the mean of its divisors is an integer number (373005).

Almost surely, 2^13755720 is an apocalyptic number.

13755720 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 13755720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23872320).

13755720 is an abundant number, since it is smaller than the sum of its proper divisors (33988920).

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

13755720 is a wasteful number, since it uses less digits than its factorization.

13755720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 13755720 is about 3708.8704479936. The cubic root of 13755720 is about 239.6042087586.

The spelling of 13755720 in words is "thirteen million, seven hundred fifty-five thousand, seven hundred twenty".