18542720 has 64 divisors (see below), whose sum is σ = 50673600. Its totient is φ = 6355968.

The previous prime is 18542707. The next prime is 18542723. The reversal of 18542720 is 2724581.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×18542720⁴ (a number of 30 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (18542723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2411 + ... + 6549.

It is an arithmetic number, because the mean of its divisors is an integer number (791775).

Almost surely, 2^18542720 is an apocalyptic number.

18542720 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 18542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25336800).

18542720 is an abundant number, since it is smaller than the sum of its proper divisors (32130880).

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

18542720 is an equidigital number, since it uses as much as digits as its factorization.

18542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 18542720 is about 4306.1258690382. The cubic root of 18542720 is about 264.6820441956.

The spelling of 18542720 in words is "eighteen million, five hundred forty-two thousand, seven hundred twenty".