18742590 has 64 divisors (see below), whose sum is σ = 50656320. Its totient is φ = 4992192.

The previous prime is 18742583. The next prime is 18742597. The reversal of 18742590 is 9524781.

It is an interprime number because it is at equal distance from previous prime (18742583) and next prime (18742597).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18742597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21442 + ... + 22298.

It is an arithmetic number, because the mean of its divisors is an integer number (791505).

Almost surely, 2^18742590 is an apocalyptic number.

18742590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18742590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25328160).

18742590 is an abundant number, since it is smaller than the sum of its proper divisors (31913730).

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

18742590 is an frugal number, since it uses more digits than its factorization.

18742590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 18742590 is about 4329.2713012700. The cubic root of 18742590 is about 265.6296407955.

The spelling of 18742590 in words is "eighteen million, seven hundred forty-two thousand, five hundred ninety".