18688248 has 72 divisors (see below), whose sum is σ = 53492400. Its totient is φ = 5893344.

The previous prime is 18688211. The next prime is 18688249. The reversal of 18688248 is 84288681.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×18688248² = 698501226619008, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18688249) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25633 + ... + 26351.

It is an arithmetic number, because the mean of its divisors is an integer number (742950).

Almost surely, 2^18688248 is an apocalyptic number.

18688248 is a gapful number since it is divisible by the number (18) 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 18688248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26746200).

18688248 is an abundant number, since it is smaller than the sum of its proper divisors (34804152).

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

18688248 is a wasteful number, since it uses less digits than its factorization.

18688248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 743 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 18688248 is about 4322.9906314957. The cubic root of 18688248 is about 265.3726713446.

The spelling of 18688248 in words is "eighteen million, six hundred eighty-eight thousand, two hundred forty-eight".