18756720 has 120 divisors (see below), whose sum is σ = 63835200. Its totient is φ = 4935168.

The previous prime is 18756719. The next prime is 18756739. The reversal of 18756720 is 2765781.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 78361 + ... + 78599.

It is an arithmetic number, because the mean of its divisors is an integer number (531960).

Almost surely, 2^18756720 is an apocalyptic number.

18756720 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 18756720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31917600).

18756720 is an abundant number, since it is smaller than the sum of its proper divisors (45078480).

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

18756720 is a wasteful number, since it uses less digits than its factorization.

18756720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 18756720 is about 4330.9029081705. The cubic root of 18756720 is about 265.6963765740.

The spelling of 18756720 in words is "eighteen million, seven hundred fifty-six thousand, seven hundred twenty".