818241248 has 48 divisors (see below), whose sum is σ = 1769266800. Its totient is φ = 369408000.

The previous prime is 818241247. The next prime is 818241257. The reversal of 818241248 is 842142818.

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 (818241247) 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, 44648 + ... + 60248.

It is an arithmetic number, because the mean of its divisors is an integer number (36859725).

Almost surely, 2^818241248 is an apocalyptic number.

818241248 is a gapful number since it is divisible by the number (88) 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 818241248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884633400).

818241248 is an abundant number, since it is smaller than the sum of its proper divisors (951025552).

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

818241248 is a wasteful number, since it uses less digits than its factorization.

818241248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15771 (or 15763 counting only the distinct ones).

The product of its digits is 32768, while the sum is 38.

The square root of 818241248 is about 28604.9165004899. The cubic root of 818241248 is about 935.3205066677.

The spelling of 818241248 in words is "eight hundred eighteen million, two hundred forty-one thousand, two hundred forty-eight".