248333568 has 108 divisors (see below), whose sum is σ = 768952800. Its totient is φ = 70941696.

The previous prime is 248333563. The next prime is 248333573. The reversal of 248333568 is 865333842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (248333563) and next prime (248333573).

It is a super-2 number, since 2×248333568² = 123339121991221248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248333563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34333 + ... + 40931.

Almost surely, 2^248333568 is an apocalyptic number.

248333568 is a gapful number since it is divisible by the number (28) 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 248333568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384476400).

248333568 is an abundant number, since it is smaller than the sum of its proper divisors (520619232).

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

248333568 is an equidigital number, since it uses as much as digits as its factorization.

248333568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6611 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 248333568 is about 15758.6029837673. The cubic root of 248333568 is about 628.5576881687.

The spelling of 248333568 in words is "two hundred forty-eight million, three hundred thirty-three thousand, five hundred sixty-eight".