18763240 has 64 divisors (see below), whose sum is σ = 45858960. Its totient is φ = 6881280.

The previous prime is 18763237. The next prime is 18763243. The reversal of 18763240 is 4236781.

It is an interprime number because it is at equal distance from previous prime (18763237) and next prime (18763243).

It can be written as a sum of positive squares in 8 ways, for example, as 4186116 + 14577124 = 2046^2 + 3818^2 .

It is not an unprimeable number, because it can be changed into a prime (18763243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27544 + ... + 28216.

Almost surely, 2^18763240 is an apocalyptic number.

18763240 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 18763240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22929480).

18763240 is an abundant number, since it is smaller than the sum of its proper divisors (27095720).

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

18763240 is a wasteful number, since it uses less digits than its factorization.

18763240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 18763240 is about 4331.6555726419. The cubic root of 18763240 is about 265.7271591360.

The spelling of 18763240 in words is "eighteen million, seven hundred sixty-three thousand, two hundred forty".