248007168 has 120 divisors (see below), whose sum is σ = 723891168. Its totient is φ = 81733632.

The previous prime is 248007167. The next prime is 248007173. The reversal of 248007168 is 861700842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (248007167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492805 + ... + 493307.

Almost surely, 2^248007168 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 248007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361945584).

248007168 is an abundant number, since it is smaller than the sum of its proper divisors (475884000).

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

248007168 is a wasteful number, since it uses less digits than its factorization.

248007168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 248007168 is about 15748.2433306068. The cubic root of 248007168 is about 628.2821834889.

The spelling of 248007168 in words is "two hundred forty-eight million, seven thousand, one hundred sixty-eight".