248633088 has 144 divisors (see below), whose sum is σ = 760368000. Its totient is φ = 71331840.

The previous prime is 248633087. The next prime is 248633089. The reversal of 248633088 is 880336842.

It is an interprime number because it is at equal distance from previous prime (248633087) and next prime (248633089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248633087) 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, 159738 + ... + 161286.

Almost surely, 2^248633088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248633088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380184000).

248633088 is an abundant number, since it is smaller than the sum of its proper divisors (511734912).

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

248633088 is a wasteful number, since it uses less digits than its factorization.

248633088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 248633088 is about 15768.1035004213. The cubic root of 248633088 is about 628.8102919021.

It can be divided in two parts, 248 and 633088, that added together give a palindrome (633336).

The spelling of 248633088 in words is "two hundred forty-eight million, six hundred thirty-three thousand, eighty-eight".